diff --git a/docs/en-US/component/dialog.md b/docs/en-US/component/dialog.md
index 5380470af9..93bbf62c0a 100644
--- a/docs/en-US/component/dialog.md
+++ b/docs/en-US/component/dialog.md
@@ -69,6 +69,16 @@ dialog/destroy-on-close
 
 :::
 
+## Draggable Dialog
+
+Try to drag the `header` part.
+
+:::demo Set `draggable` to `true` to drag.
+
+dialog/draggable-dialog
+
+:::
+
 :::tip
 
 When using `modal` = false, please make sure that `append-to-body` was set to **true**, because `Dialog` was positioned by `position: relative`, when `modal` gets removed, `Dialog` will position itself based on the current position in the DOM, instead of `Document.Body`, thus the style will be messed up.
@@ -94,6 +104,7 @@ When using `modal` = false, please make sure that `append-to-body` was set to **
 | close-on-press-escape | whether the Dialog can be closed by pressing ESC                                                  | boolean                                          | —               | true    |
 | show-close            | whether to show a close button                                                                    | boolean                                          | —               | true    |
 | before-close          | callback before Dialog closes, and it will prevent Dialog from closing                            | function(done)，done is used to close the Dialog | —               | —       |
+| draggable             | enable dragging feature for Dialog                                                                | boolean                                          | —               | false   |
 | center                | whether to align the header and footer in center                                                  | boolean                                          | —               | false   |
 | destroy-on-close      | Destroy elements in Dialog when closed                                                            | boolean                                          | —               | false   |
 
diff --git a/docs/en-US/component/message-box.md b/docs/en-US/component/message-box.md
index 62951a4d52..14ab917a72 100644
--- a/docs/en-US/component/message-box.md
+++ b/docs/en-US/component/message-box.md
@@ -89,12 +89,22 @@ message-box/distinguishable-close-cancel
 
 Content of MessageBox can be centered.
 
-:::demo Setting `center` to `true` will center the content
+:::demo Setting `center` to `true` will center the content.
 
 message-box/centered-content
 
 :::
 
+## Draggable
+
+MessageBox can be draggable.
+
+:::demo Setting `draggable` to `true` allows user to drag MessageBox.
+
+message-box/draggable
+
+:::
+
 ## Global method
 
 If Element Plus is fully imported, it will add the following global methods for `app.config.globalProperties`: `$msgbox`, `$alert`, `$confirm` and `$prompt`. So in a Vue instance you can call `MessageBox` like what we did in this page. The parameters are:
@@ -147,5 +157,6 @@ The corresponding methods are: `ElMessageBox`, `ElMessageBox.alert`, `ElMessageB
 | input-validator              | validation function for the input. Should returns a boolean or string. If a string is returned, it will be assigned to inputErrorMessage | function                                                                                                                                                                                                                        | —                                | —                                                |
 | input-error-message          | error message when validation fails                                                                                                      | string                                                                                                                                                                                                                          | —                                | Illegal input                                    |
 | center                       | whether to align the content in center                                                                                                   | boolean                                                                                                                                                                                                                         | —                                | false                                            |
+| draggable                    | whether MessageBox is draggable                                                                                                          | boolean                                                                                                                                                                                                                         | —                                | false                                            |
 | round-button                 | whether to use round button                                                                                                              | boolean                                                                                                                                                                                                                         | —                                | false                                            |
 | button-size                  | custom size of confirm and cancel buttons                                                                                                | string                                                                                                                                                                                                                          | small / default / large          | default                                          |
diff --git a/docs/examples/dialog/draggable-dialog.vue b/docs/examples/dialog/draggable-dialog.vue
new file mode 100644
index 0000000000..1ea7d390cc
--- /dev/null
+++ b/docs/examples/dialog/draggable-dialog.vue
@@ -0,0 +1,23 @@
+<template>
+  <el-button type="text" @click="dialogVisible = true"
+    >Click to open Dialog
+  </el-button>
+
+  <el-dialog v-model="dialogVisible" title="Tips" width="30%" draggable>
+    <span>It's a draggable Dialog</span>
+    <template #footer>
+      <span class="dialog-footer">
+        <el-button @click="dialogVisible = false">Cancel</el-button>
+        <el-button type="primary" @click="dialogVisible = false"
+          >Confirm</el-button
+        >
+      </span>
+    </template>
+  </el-dialog>
+</template>
+
+<script lang="ts" setup>
+import { ref } from 'vue'
+
+const dialogVisible = ref(false)
+</script>
diff --git a/docs/examples/message-box/draggable.vue b/docs/examples/message-box/draggable.vue
new file mode 100644
index 0000000000..a830a3d100
--- /dev/null
+++ b/docs/examples/message-box/draggable.vue
@@ -0,0 +1,32 @@
+<template>
+  <el-button type="text" @click="open">Click to open Message Box</el-button>
+</template>
+
+<script lang="ts" setup>
+import { ElMessageBox, ElMessage } from 'element-plus'
+
+const open = () => {
+  ElMessageBox.confirm(
+    'proxy will permanently delete the file. Continue?',
+    'Warning',
+    {
+      confirmButtonText: 'OK',
+      cancelButtonText: 'Cancel',
+      type: 'warning',
+      draggable: true,
+    }
+  )
+    .then(() => {
+      ElMessage({
+        type: 'success',
+        message: 'Delete completed',
+      })
+    })
+    .catch(() => {
+      ElMessage({
+        type: 'info',
+        message: 'Delete canceled',
+      })
+    })
+}
+</script>
diff --git a/packages/components/dialog/__tests__/dialog.spec.ts b/packages/components/dialog/__tests__/dialog.spec.ts
index c42ed29e69..57c5bfd18c 100644
--- a/packages/components/dialog/__tests__/dialog.spec.ts
+++ b/packages/components/dialog/__tests__/dialog.spec.ts
@@ -275,5 +275,22 @@ describe('Dialog.vue', () => {
       const svg = mount(Delete).find('svg').element
       expect(closeIcon.element.innerHTML).toBe(svg.innerHTML)
     })
+
+    test('should render draggable prop', async () => {
+      const wrapper = _mount({
+        slots: {
+          default: AXIOM,
+        },
+        props: {
+          modelValue: true,
+          draggable: true,
+        },
+      })
+
+      await nextTick()
+      await rAF()
+      await nextTick()
+      expect(wrapper.find('.is-draggable').exists()).toBe(true)
+    })
   })
 })
diff --git a/packages/components/dialog/src/dialog.ts b/packages/components/dialog/src/dialog.ts
index fa3fd2f5e0..79a0c960e9 100644
--- a/packages/components/dialog/src/dialog.ts
+++ b/packages/components/dialog/src/dialog.ts
@@ -39,6 +39,10 @@ export const dialogProps = buildProps({
     type: Boolean,
     default: false,
   },
+  draggable: {
+    type: Boolean,
+    default: false,
+  },
   lockScroll: {
     type: Boolean,
     default: true,
diff --git a/packages/components/dialog/src/dialog.vue b/packages/components/dialog/src/dialog.vue
index ba3416f465..c093fa9a6c 100644
--- a/packages/components/dialog/src/dialog.vue
+++ b/packages/components/dialog/src/dialog.vue
@@ -26,6 +26,7 @@
               'el-dialog',
               {
                 'is-fullscreen': fullscreen,
+                'is-draggable': draggable,
                 'el-dialog--center': center,
               },
               customClass,
@@ -36,7 +37,7 @@
             :style="style"
             @click.stop=""
           >
-            <div class="el-dialog__header">
+            <div ref="headerRef" class="el-dialog__header">
               <slot name="title">
                 <span class="el-dialog__title">
                   {{ title }}
@@ -70,12 +71,12 @@
 </template>
 
 <script lang="ts">
-import { defineComponent, ref } from 'vue'
+import { computed, defineComponent, ref } from 'vue'
 import { TrapFocus } from '@element-plus/directives'
 import { ElOverlay } from '@element-plus/components/overlay'
 import { ElIcon } from '@element-plus/components/icon'
 import { CloseComponents } from '@element-plus/utils/icon'
-import { useSameTarget } from '@element-plus/hooks'
+import { useDraggable, useSameTarget } from '@element-plus/hooks'
 import { dialogProps, dialogEmits } from './dialog'
 import { useDialog } from './use-dialog'
 
@@ -95,11 +96,16 @@ export default defineComponent({
 
   setup(props, ctx) {
     const dialogRef = ref<HTMLElement>()
+    const headerRef = ref<HTMLElement>()
     const dialog = useDialog(props, ctx, dialogRef)
     const overlayEvent = useSameTarget(dialog.onModalClick)
 
+    const draggable = computed(() => props.draggable && !props.fullscreen)
+    useDraggable(dialogRef, headerRef, draggable)
+
     return {
       dialogRef,
+      headerRef,
       overlayEvent,
       ...dialog,
     }
diff --git a/packages/components/message-box/src/index.vue b/packages/components/message-box/src/index.vue
index 09e0542009..b220d8f5b6 100644
--- a/packages/components/message-box/src/index.vue
+++ b/packages/components/message-box/src/index.vue
@@ -5,112 +5,122 @@
       :z-index="zIndex"
       :overlay-class="['is-message-box', modalClass]"
       :mask="modal"
-      @click.self="handleWrapperClick"
     >
       <div
-        ref="root"
-        v-trap-focus
-        role="dialog"
-        :aria-label="title || 'dialog'"
-        aria-modal="true"
-        :class="[
-          'el-message-box',
-          customClass,
-          { 'el-message-box--center': center },
-        ]"
-        :style="customStyle"
+        class="el-overlay-message-box"
+        @click="overlayEvent.onClick"
+        @mousedown="overlayEvent.onMousedown"
+        @mouseup="overlayEvent.onMouseup"
       >
         <div
-          v-if="title !== null && title !== undefined"
-          class="el-message-box__header"
+          ref="rootRef"
+          v-trap-focus
+          role="dialog"
+          :aria-label="title || 'dialog'"
+          aria-modal="true"
+          :class="[
+            'el-message-box',
+            customClass,
+            { 'el-message-box--center': center, 'is-draggable': draggable },
+          ]"
+          :style="customStyle"
+          @click.stop=""
         >
-          <div class="el-message-box__title">
-            <el-icon
-              v-if="iconComponent && center"
-              class="el-message-box__status"
-              :class="typeClass"
-            >
-              <component :is="iconComponent" />
-            </el-icon>
-            <span>{{ title }}</span>
-          </div>
-          <button
-            v-if="showClose"
-            type="button"
-            class="el-message-box__headerbtn"
-            aria-label="Close"
-            @click="
-              handleAction(distinguishCancelAndClose ? 'close' : 'cancel')
-            "
-            @keydown.prevent.enter="
-              handleAction(distinguishCancelAndClose ? 'close' : 'cancel')
-            "
+          <div
+            v-if="title !== null && title !== undefined"
+            ref="headerRef"
+            class="el-message-box__header"
           >
-            <el-icon class="el-message-box__close"><close /></el-icon>
-          </button>
-        </div>
-        <div class="el-message-box__content">
-          <div class="el-message-box__container">
-            <el-icon
-              v-if="iconComponent && !center && hasMessage"
-              class="el-message-box__status"
-              :class="typeClass"
+            <div class="el-message-box__title">
+              <el-icon
+                v-if="iconComponent && center"
+                class="el-message-box__status"
+                :class="typeClass"
+              >
+                <component :is="iconComponent" />
+              </el-icon>
+              <span>{{ title }}</span>
+            </div>
+            <button
+              v-if="showClose"
+              type="button"
+              class="el-message-box__headerbtn"
+              aria-label="Close"
+              @click="
+                handleAction(distinguishCancelAndClose ? 'close' : 'cancel')
+              "
+              @keydown.prevent.enter="
+                handleAction(distinguishCancelAndClose ? 'close' : 'cancel')
+              "
             >
-              <component :is="iconComponent" />
-            </el-icon>
-            <div v-if="hasMessage" class="el-message-box__message">
-              <slot>
-                <p v-if="!dangerouslyUseHTMLString">{{ message }}</p>
-                <p v-else v-html="message"></p>
-              </slot>
+              <el-icon class="el-message-box__close">
+                <close />
+              </el-icon>
+            </button>
+          </div>
+          <div class="el-message-box__content">
+            <div class="el-message-box__container">
+              <el-icon
+                v-if="iconComponent && !center && hasMessage"
+                class="el-message-box__status"
+                :class="typeClass"
+              >
+                <component :is="iconComponent" />
+              </el-icon>
+              <div v-if="hasMessage" class="el-message-box__message">
+                <slot>
+                  <p v-if="!dangerouslyUseHTMLString">{{ message }}</p>
+                  <p v-else v-html="message"></p>
+                </slot>
+              </div>
+            </div>
+            <div v-show="showInput" class="el-message-box__input">
+              <el-input
+                ref="inputRef"
+                v-model="inputValue"
+                :type="inputType"
+                :placeholder="inputPlaceholder"
+                :class="{ invalid: validateError }"
+                @keydown.prevent.enter="handleInputEnter"
+              />
+              <div
+                class="el-message-box__errormsg"
+                :style="{
+                  visibility: !!editorErrorMessage ? 'visible' : 'hidden',
+                }"
+              >
+                {{ editorErrorMessage }}
+              </div>
             </div>
           </div>
-          <div v-show="showInput" class="el-message-box__input">
-            <el-input
-              ref="inputRef"
-              v-model="inputValue"
-              :type="inputType"
-              :placeholder="inputPlaceholder"
-              :class="{ invalid: validateError }"
-              @keydown.prevent.enter="handleInputEnter"
-            />
-            <div
-              class="el-message-box__errormsg"
-              :style="{
-                visibility: !!editorErrorMessage ? 'visible' : 'hidden',
-              }"
+          <div class="el-message-box__btns">
+            <el-button
+              v-if="showCancelButton"
+              :loading="cancelButtonLoading"
+              :class="[cancelButtonClass]"
+              :round="roundButton"
+              :size="btnSize"
+              @click="handleAction('cancel')"
+              @keydown.prevent.enter="handleAction('cancel')"
             >
-              {{ editorErrorMessage }}
-            </div>
+              {{ cancelButtonText || t('el.messagebox.cancel') }}
+            </el-button>
+            <el-button
+              v-show="showConfirmButton"
+              ref="confirmRef"
+              type="primary"
+              :loading="confirmButtonLoading"
+              :class="[confirmButtonClasses]"
+              :round="roundButton"
+              :disabled="confirmButtonDisabled"
+              :size="btnSize"
+              @click="handleAction('confirm')"
+              @keydown.prevent.enter="handleAction('confirm')"
+            >
+              {{ confirmButtonText || t('el.messagebox.confirm') }}
+            </el-button>
           </div>
         </div>
-        <div class="el-message-box__btns">
-          <el-button
-            v-if="showCancelButton"
-            :loading="cancelButtonLoading"
-            :class="[cancelButtonClass]"
-            :round="roundButton"
-            :size="btnSize"
-            @click="handleAction('cancel')"
-            @keydown.prevent.enter="handleAction('cancel')"
-          >
-            {{ cancelButtonText || t('el.messagebox.cancel') }}
-          </el-button>
-          <el-button
-            v-show="showConfirmButton"
-            ref="confirmRef"
-            type="primary"
-            :loading="confirmButtonLoading"
-            :class="[confirmButtonClasses]"
-            :round="roundButton"
-            :disabled="confirmButtonDisabled"
-            :size="btnSize"
-            @click="handleAction('confirm')"
-            @keydown.prevent.enter="handleAction('confirm')"
-          >
-            {{ confirmButtonText || t('el.messagebox.confirm') }}
-          </el-button>
-        </div>
       </div>
     </el-overlay>
   </transition>
@@ -136,6 +146,8 @@ import {
   useRestoreActive,
   usePreventGlobal,
   useSize,
+  useDraggable,
+  useSameTarget,
 } from '@element-plus/hooks'
 import ElInput from '@element-plus/components/input'
 import { ElOverlay } from '@element-plus/components/overlay'
@@ -146,7 +158,7 @@ import { isValidComponentSize } from '@element-plus/utils/validators'
 import { ElIcon } from '@element-plus/components/icon'
 import { TypeComponents, TypeComponentsMap } from '@element-plus/utils/icon'
 
-import type { ComponentPublicInstance, PropType } from 'vue'
+import type { PropType } from 'vue'
 import type { ComponentSize } from '@element-plus/utils/types'
 import type {
   Action,
@@ -197,6 +209,7 @@ export default defineComponent({
       default: true,
     },
     center: Boolean,
+    draggable: Boolean,
     roundButton: {
       default: false,
       type: Boolean,
@@ -270,8 +283,10 @@ export default defineComponent({
       () => state.icon || TypeComponentsMap[state.type] || ''
     )
     const hasMessage = computed(() => !!state.message)
-    const inputRef = ref<ComponentPublicInstance>(null)
-    const confirmRef = ref<ComponentPublicInstance>(null)
+    const rootRef = ref<HTMLElement>()
+    const headerRef = ref<HTMLElement>()
+    const inputRef = ref<HTMLElement>()
+    const confirmRef = ref<HTMLElement>()
 
     const confirmButtonClasses = computed(() => state.confirmButtonClass)
 
@@ -311,6 +326,9 @@ export default defineComponent({
       }
     )
 
+    const draggable = computed(() => props.draggable)
+    useDraggable(rootRef, headerRef, draggable)
+
     onMounted(async () => {
       await nextTick()
       if (props.closeOnHashChange) {
@@ -338,6 +356,8 @@ export default defineComponent({
       }
     }
 
+    const overlayEvent = useSameTarget(handleWrapperClick)
+
     const handleInputEnter = () => {
       if (state.inputType !== 'textarea') {
         return handleAction('confirm')
@@ -428,12 +448,15 @@ export default defineComponent({
 
     return {
       ...toRefs(state),
+      overlayEvent,
       visible,
       hasMessage,
       typeClass,
       btnSize,
       iconComponent,
       confirmButtonClasses,
+      rootRef,
+      headerRef,
       inputRef,
       confirmRef,
       doClose, // for outside usage
diff --git a/packages/components/message-box/src/message-box.type.ts b/packages/components/message-box/src/message-box.type.ts
index 5dc4df885a..f95107d535 100644
--- a/packages/components/message-box/src/message-box.type.ts
+++ b/packages/components/message-box/src/message-box.type.ts
@@ -92,6 +92,9 @@ export interface ElMessageBoxOptions {
   /** Whether to align the content in center */
   center?: boolean
 
+  /** Whether MessageBox can be drag */
+  draggable?: boolean
+
   /** Content of the MessageBox */
   message?: string | VNode
 
diff --git a/packages/hooks/index.ts b/packages/hooks/index.ts
index 11b6a76fc7..4e44087920 100644
--- a/packages/hooks/index.ts
+++ b/packages/hooks/index.ts
@@ -1,5 +1,6 @@
 export * from './use-attrs'
 export * from './use-common-props'
+export * from './use-draggable'
 export * from './use-focus'
 export * from './use-form-item'
 export * from './use-global-config'
diff --git a/packages/hooks/use-draggable/index.ts b/packages/hooks/use-draggable/index.ts
new file mode 100644
index 0000000000..020e57729d
--- /dev/null
+++ b/packages/hooks/use-draggable/index.ts
@@ -0,0 +1,87 @@
+import { onBeforeUnmount, onMounted, watchEffect } from 'vue'
+import { addUnit } from '@element-plus/utils/util'
+import type { Ref, ComputedRef } from 'vue'
+
+export const useDraggable = (
+  targetRef: Ref<HTMLElement | undefined>,
+  dragRef: Ref<HTMLElement | undefined>,
+  draggable: ComputedRef<boolean>
+) => {
+  let transform = {
+    offsetX: 0,
+    offsetY: 0,
+  }
+
+  const onMousedown = (e: MouseEvent) => {
+    const downX = e.clientX
+    const downY = e.clientY
+    const { offsetX, offsetY } = transform
+
+    const targetRect = targetRef.value.getBoundingClientRect()
+    const targetLeft = targetRect.left
+    const targetTop = targetRect.top
+    const targetWidth = targetRect.width
+    const targetHeight = targetRect.height
+
+    const clientWidth = document.documentElement.clientWidth
+    const clientHeight = document.documentElement.clientHeight
+
+    const minLeft = -targetLeft + offsetX
+    const minTop = -targetTop + offsetY
+    const maxLeft = clientWidth - targetLeft - targetWidth + offsetX
+    const maxTop = clientHeight - targetTop - targetHeight + offsetY
+
+    const onMousemove = (e: MouseEvent) => {
+      const moveX = Math.min(
+        Math.max(offsetX + e.clientX - downX, minLeft),
+        maxLeft
+      )
+      const moveY = Math.min(
+        Math.max(offsetY + e.clientY - downY, minTop),
+        maxTop
+      )
+
+      transform = {
+        offsetX: moveX,
+        offsetY: moveY,
+      }
+      targetRef.value.style.transform = `translate(${addUnit(moveX)}, ${addUnit(
+        moveY
+      )})`
+    }
+
+    const onMouseup = () => {
+      document.removeEventListener('mousemove', onMousemove)
+      document.removeEventListener('mouseup', onMouseup)
+    }
+
+    document.addEventListener('mousemove', onMousemove)
+    document.addEventListener('mouseup', onMouseup)
+  }
+
+  const onDraggable = () => {
+    if (dragRef.value && targetRef.value) {
+      dragRef.value.addEventListener('mousedown', onMousedown)
+    }
+  }
+
+  const offDraggable = () => {
+    if (dragRef.value && targetRef.value) {
+      dragRef.value.removeEventListener('mousedown', onMousedown)
+    }
+  }
+
+  onMounted(() => {
+    watchEffect(() => {
+      if (draggable.value) {
+        onDraggable()
+      } else {
+        offDraggable()
+      }
+    })
+  })
+
+  onBeforeUnmount(() => {
+    offDraggable()
+  })
+}
diff --git a/packages/theme-chalk/src/dialog.scss b/packages/theme-chalk/src/dialog.scss
index 262e90170a..8b702cc5d9 100644
--- a/packages/theme-chalk/src/dialog.scss
+++ b/packages/theme-chalk/src/dialog.scss
@@ -35,6 +35,13 @@
     margin: 0;
   }
 
+  @include when(draggable) {
+    @include e(header) {
+      cursor: move;
+      user-select: none;
+    }
+  }
+
   @include e(header) {
     padding: var(--el-dialog-padding-primary);
     padding-bottom: 10px;
diff --git a/packages/theme-chalk/src/message-box.scss b/packages/theme-chalk/src/message-box.scss
index a997683e76..257b37abf1 100644
--- a/packages/theme-chalk/src/message-box.scss
+++ b/packages/theme-chalk/src/message-box.scss
@@ -24,13 +24,29 @@
   backface-visibility: hidden;
 
   @at-root .#{$namespace}-overlay.is-message-box {
-    text-align: center;
-    &::after {
-      content: '';
-      display: inline-block;
-      height: 100%;
-      width: 0;
-      vertical-align: middle;
+    .#{$namespace}-overlay-message-box {
+      text-align: center;
+      position: fixed;
+      top: 0;
+      right: 0;
+      bottom: 0;
+      left: 0;
+      overflow: auto;
+
+      &::after {
+        content: '';
+        display: inline-block;
+        height: 100%;
+        width: 0;
+        vertical-align: middle;
+      }
+    }
+  }
+
+  @include when(draggable) {
+    @include e(header) {
+      cursor: move;
+      user-select: none;
     }
   }
 
@@ -87,6 +103,7 @@
 
     & div.invalid > input {
       border-color: var(--el-color-error);
+
       &:focus {
         border-color: var(--el-color-error);
       }
@@ -152,12 +169,6 @@
 
   // centerAlign 布局
   @include m(center) {
-    padding-bottom: 30px;
-
-    @include e(header) {
-      padding-top: 30px;
-    }
-
     @include e(title) {
       position: relative;
       display: flex;
@@ -191,13 +202,13 @@
 }
 
 .fade-in-linear-enter-active {
-  .#{$namespace}-message-box {
+  .#{$namespace}-overlay-message-box {
     animation: msgbox-fade-in var(--el-transition-duration);
   }
 }
 
 .fade-in-linear-leave-active {
-  .#{$namespace}-message-box {
+  .#{$namespace}-overlay-message-box {
     animation: msgbox-fade-in var(--el-transition-duration) reverse;
   }
 }