diff --git a/go.mod b/go.mod
index 0f56169d42..92f86c021f 100644
--- a/go.mod
+++ b/go.mod
@@ -62,6 +62,7 @@ require (
 	github.com/vbauerster/mpb/v8 v8.4.0
 	github.com/vishvananda/netlink v1.2.1-beta.2
 	go.etcd.io/bbolt v1.3.7
+	golang.org/x/exp v0.0.0-20230522175609-2e198f4a06a1
 	golang.org/x/net v0.12.0
 	golang.org/x/sync v0.3.0
 	golang.org/x/sys v0.10.0
@@ -166,7 +167,6 @@ require (
 	go.opentelemetry.io/otel v1.15.0 // indirect
 	go.opentelemetry.io/otel/trace v1.15.0 // indirect
 	golang.org/x/crypto v0.11.0 // indirect
-	golang.org/x/exp v0.0.0-20230522175609-2e198f4a06a1 // indirect
 	golang.org/x/mod v0.10.0 // indirect
 	golang.org/x/oauth2 v0.9.0 // indirect
 	golang.org/x/tools v0.9.3 // indirect
diff --git a/pkg/specgen/generate/kube/kube.go b/pkg/specgen/generate/kube/kube.go
index bec3bc9569..74af09a157 100644
--- a/pkg/specgen/generate/kube/kube.go
+++ b/pkg/specgen/generate/kube/kube.go
@@ -27,6 +27,7 @@ import (
 	"github.com/containers/podman/v4/pkg/domain/entities"
 	v1 "github.com/containers/podman/v4/pkg/k8s.io/api/core/v1"
 	"github.com/containers/podman/v4/pkg/k8s.io/apimachinery/pkg/api/resource"
+	"github.com/containers/podman/v4/pkg/k8s.io/apimachinery/pkg/util/intstr"
 	"github.com/containers/podman/v4/pkg/specgen"
 	"github.com/containers/podman/v4/pkg/specgen/generate"
 	systemdDefine "github.com/containers/podman/v4/pkg/systemd/define"
@@ -35,6 +36,7 @@ import (
 	"github.com/docker/go-units"
 	spec "github.com/opencontainers/runtime-spec/specs-go"
 	"github.com/sirupsen/logrus"
+	"golang.org/x/exp/slices"
 	"sigs.k8s.io/yaml"
 )
 
@@ -563,7 +565,7 @@ func parseMountPath(mountPath string, readOnly bool, propagationMode *v1.MountPr
 	return dest, opts, nil
 }
 
-func probeToHealthConfig(probe *v1.Probe) (*manifest.Schema2HealthConfig, error) {
+func probeToHealthConfig(probe *v1.Probe, containerPorts []v1.ContainerPort) (*manifest.Schema2HealthConfig, error) {
 	var commandString string
 	failureCmd := "exit 1"
 	probeHandler := probe.Handler
@@ -591,13 +593,35 @@ func probeToHealthConfig(probe *v1.Probe) (*manifest.Schema2HealthConfig, error)
 		if probeHandler.HTTPGet.Path != "" {
 			path = probeHandler.HTTPGet.Path
 		}
-		commandString = fmt.Sprintf("curl -f %s://%s:%d%s || %s", uriScheme, host, probeHandler.HTTPGet.Port.IntValue(), path, failureCmd)
+		portNum, err := getPortNumber(probeHandler.HTTPGet.Port, containerPorts)
+		if err != nil {
+			return nil, err
+		}
+		commandString = fmt.Sprintf("curl -f %s://%s:%d%s || %s", uriScheme, host, portNum, path, failureCmd)
 	case probeHandler.TCPSocket != nil:
-		commandString = fmt.Sprintf("nc -z -v %s %d || %s", probeHandler.TCPSocket.Host, probeHandler.TCPSocket.Port.IntValue(), failureCmd)
+		portNum, err := getPortNumber(probeHandler.TCPSocket.Port, containerPorts)
+		if err != nil {
+			return nil, err
+		}
+		commandString = fmt.Sprintf("nc -z -v %s %d || %s", probeHandler.TCPSocket.Host, portNum, failureCmd)
 	}
 	return makeHealthCheck(commandString, probe.PeriodSeconds, probe.FailureThreshold, probe.TimeoutSeconds, probe.InitialDelaySeconds)
 }
 
+func getPortNumber(port intstr.IntOrString, containerPorts []v1.ContainerPort) (int, error) {
+	var portNum int
+	if port.Type == intstr.String && port.IntValue() == 0 {
+		idx := slices.IndexFunc(containerPorts, func(cp v1.ContainerPort) bool { return cp.Name == port.String() })
+		if idx == -1 {
+			return 0, fmt.Errorf("unknown port: %s", port.String())
+		}
+		portNum = int(containerPorts[idx].ContainerPort)
+	} else {
+		portNum = port.IntValue()
+	}
+	return portNum, nil
+}
+
 func setupLivenessProbe(s *specgen.SpecGenerator, containerYAML v1.Container, restartPolicy string) error {
 	var err error
 	if containerYAML.LivenessProbe == nil {
@@ -605,7 +629,7 @@ func setupLivenessProbe(s *specgen.SpecGenerator, containerYAML v1.Container, re
 	}
 	emptyHandler := v1.Handler{}
 	if containerYAML.LivenessProbe.Handler != emptyHandler {
-		s.HealthConfig, err = probeToHealthConfig(containerYAML.LivenessProbe)
+		s.HealthConfig, err = probeToHealthConfig(containerYAML.LivenessProbe, containerYAML.Ports)
 		if err != nil {
 			return err
 		}
@@ -624,7 +648,7 @@ func setupStartupProbe(s *specgen.SpecGenerator, containerYAML v1.Container, res
 	}
 	emptyHandler := v1.Handler{}
 	if containerYAML.StartupProbe.Handler != emptyHandler {
-		healthConfig, err := probeToHealthConfig(containerYAML.StartupProbe)
+		healthConfig, err := probeToHealthConfig(containerYAML.StartupProbe, containerYAML.Ports)
 		if err != nil {
 			return err
 		}
diff --git a/pkg/specgen/generate/kube/kube_test.go b/pkg/specgen/generate/kube/kube_test.go
index 9c52c03bbf..c1a8e6b64c 100644
--- a/pkg/specgen/generate/kube/kube_test.go
+++ b/pkg/specgen/generate/kube/kube_test.go
@@ -4,6 +4,7 @@ import (
 	"testing"
 
 	v1 "github.com/containers/podman/v4/pkg/k8s.io/api/core/v1"
+	"github.com/containers/podman/v4/pkg/k8s.io/apimachinery/pkg/util/intstr"
 	"github.com/stretchr/testify/assert"
 )
 
@@ -39,3 +40,26 @@ func TestParseMountPathRO(t *testing.T) {
 	assert.NoError(t, err)
 	assert.NotContains(t, options, "ro")
 }
+
+func TestGetPortNumber(t *testing.T) {
+	portSpec := intstr.IntOrString{Type: intstr.Int, IntVal: 3000, StrVal: "myport"}
+	cp1 := v1.ContainerPort{Name: "myport", ContainerPort: 4000}
+	cp2 := v1.ContainerPort{Name: "myport2", ContainerPort: 5000}
+	i, e := getPortNumber(portSpec, []v1.ContainerPort{cp1, cp2})
+	assert.NoError(t, e)
+	assert.Equal(t, i, int(portSpec.IntVal))
+
+	portSpec.Type = intstr.String
+	i, e = getPortNumber(portSpec, []v1.ContainerPort{cp1, cp2})
+	assert.NoError(t, e)
+	assert.Equal(t, i, 4000)
+
+	portSpec.StrVal = "not_valid"
+	_, e = getPortNumber(portSpec, []v1.ContainerPort{cp1, cp2})
+	assert.Error(t, e)
+
+	portSpec.StrVal = "6000"
+	i, e = getPortNumber(portSpec, []v1.ContainerPort{cp1, cp2})
+	assert.NoError(t, e)
+	assert.Equal(t, i, 6000)
+}