diff --git a/internal/store/pod.go b/internal/store/pod.go
index d4744dbb2d..23a4bd3381 100644
--- a/internal/store/pod.go
+++ b/internal/store/pod.go
@@ -64,7 +64,9 @@ func podMetricFamilies(allowAnnotationsList, allowLabelsList []string) []generat
 		createPodInitContainerInfoFamilyGenerator(),
 		createPodInitContainerResourceLimitsFamilyGenerator(),
 		createPodInitContainerResourceRequestsFamilyGenerator(),
+		createPodInitContainerStateStartedFamilyGenerator(),
 		createPodInitContainerStatusLastTerminatedReasonFamilyGenerator(),
+		createPodInitContainerStatusLastTerminatedTimestampFamilyGenerator(),
 		createPodInitContainerStatusReadyFamilyGenerator(),
 		createPodInitContainerStatusRestartsTotalFamilyGenerator(),
 		createPodInitContainerStatusRunningFamilyGenerator(),
@@ -859,6 +861,39 @@ func createPodInitContainerResourceRequestsFamilyGenerator() generator.FamilyGen
 	)
 }
 
+func createPodInitContainerStateStartedFamilyGenerator() generator.FamilyGenerator {
+	return *generator.NewFamilyGeneratorWithStability(
+		"kube_pod_init_container_state_started",
+		"Start time in unix timestamp for an init container inside the pod.",
+		metric.Gauge,
+		basemetrics.ALPHA,
+		"",
+		wrapPodFunc(func(p *v1.Pod) *metric.Family {
+			ms := []*metric.Metric{}
+
+			for _, cs := range p.Status.InitContainerStatuses {
+				if cs.State.Running != nil {
+					ms = append(ms, &metric.Metric{
+						LabelKeys:   []string{"container"},
+						LabelValues: []string{cs.Name},
+						Value:       float64((cs.State.Running.StartedAt).Unix()),
+					})
+				} else if cs.State.Terminated != nil {
+					ms = append(ms, &metric.Metric{
+						LabelKeys:   []string{"container"},
+						LabelValues: []string{cs.Name},
+						Value:       float64((cs.State.Terminated.StartedAt).Unix()),
+					})
+				}
+			}
+
+			return &metric.Family{
+				Metrics: ms,
+			}
+		}),
+	)
+}
+
 func createPodInitContainerStatusLastTerminatedReasonFamilyGenerator() generator.FamilyGenerator {
 	return *generator.NewFamilyGeneratorWithStability(
 		"kube_pod_init_container_status_last_terminated_reason",
@@ -884,6 +919,32 @@ func createPodInitContainerStatusLastTerminatedReasonFamilyGenerator() generator
 	)
 }
 
+func createPodInitContainerStatusLastTerminatedTimestampFamilyGenerator() generator.FamilyGenerator {
+	return *generator.NewFamilyGeneratorWithStability(
+		"kube_pod_init_container_status_last_terminated_timestamp",
+		"Last terminated time for an init container inside a pod in unix timestamp.",
+		metric.Gauge,
+		basemetrics.ALPHA,
+		"",
+		wrapPodFunc(func(p *v1.Pod) *metric.Family {
+			ms := make([]*metric.Metric, 0, len(p.Status.InitContainerStatuses))
+			for _, cs := range p.Status.InitContainerStatuses {
+				if cs.LastTerminationState.Terminated != nil {
+					ms = append(ms, &metric.Metric{
+						LabelKeys:   []string{"container"},
+						LabelValues: []string{cs.Name},
+						Value:       float64(cs.LastTerminationState.Terminated.FinishedAt.Unix()),
+					})
+				}
+			}
+
+			return &metric.Family{
+				Metrics: ms,
+			}
+		}),
+	)
+}
+
 func createPodInitContainerStatusReadyFamilyGenerator() generator.FamilyGenerator {
 	return *generator.NewFamilyGeneratorWithStability(
 		"kube_pod_init_container_status_ready",
diff --git a/internal/store/pod_test.go b/internal/store/pod_test.go
index 10e76f6ba5..0cfb7ca7ef 100644
--- a/internal/store/pod_test.go
+++ b/internal/store/pod_test.go
@@ -453,6 +453,7 @@ func TestPodStore(t *testing.T) {
 				# HELP kube_pod_container_status_waiting [STABLE] Describes whether the container is currently in waiting state.
 				# HELP kube_pod_container_status_waiting_reason [STABLE] Describes the reason the container is currently in waiting state.
 				# HELP kube_pod_init_container_status_running [STABLE] Describes whether the init container is currently in running state.
+				# HELP kube_pod_init_container_state_started [STABLE] Start time in unix timestamp for an_init_pod container.
 				# HELP kube_pod_init_container_status_terminated [STABLE] Describes whether the init container is currently in terminated state.
 				# HELP kube_pod_init_container_status_terminated_reason Describes the reason the init container is currently in terminated state.
 				# HELP kube_pod_init_container_status_waiting [STABLE] Describes whether the init container is currently in waiting state.
@@ -464,6 +465,7 @@ func TestPodStore(t *testing.T) {
 				# TYPE kube_pod_container_status_waiting gauge
 				# TYPE kube_pod_container_status_waiting_reason gauge
 				# TYPE kube_pod_init_container_status_running gauge
+				# TYPE kube_pod_init_container_state_started gauge
 				# TYPE kube_pod_init_container_status_terminated gauge
 				# TYPE kube_pod_init_container_status_terminated_reason gauge
 				# TYPE kube_pod_init_container_status_waiting gauge
@@ -473,6 +475,7 @@ func TestPodStore(t *testing.T) {
 				kube_pod_container_status_terminated{container="container1",namespace="ns1",pod="pod1",uid="uid1"} 0
 				kube_pod_container_status_waiting{container="container1",namespace="ns1",pod="pod1",uid="uid1"} 0
 				kube_pod_init_container_status_running{container="initcontainer1",namespace="ns1",pod="pod1",uid="uid1"} 1
+				kube_pod_init_container_state_started{container="initcontainer1",namespace="ns1",pod="pod1",uid="uid1"} -6.21355968e+10
 				kube_pod_init_container_status_terminated{container="initcontainer1",namespace="ns1",pod="pod1",uid="uid1"} 0
 				kube_pod_init_container_status_waiting{container="initcontainer1",namespace="ns1",pod="pod1",uid="uid1"} 0
 			`,
@@ -483,6 +486,7 @@ func TestPodStore(t *testing.T) {
 				"kube_pod_container_status_terminated",
 				"kube_pod_container_status_terminated_reason",
 				"kube_pod_init_container_status_running",
+				"kube_pod_init_container_state_started",
 				"kube_pod_init_container_status_waiting",
 				"kube_pod_init_container_status_waiting_reason",
 				"kube_pod_init_container_status_terminated",
@@ -1766,11 +1770,13 @@ func TestPodStore(t *testing.T) {
 				# HELP kube_pod_init_container_resource_limits The number of requested limit resource by an init container.
 				# HELP kube_pod_init_container_resource_requests The number of requested request resource by an init container.
 				# HELP kube_pod_init_container_status_last_terminated_reason Describes the last reason the init container was in terminated state.
+				# HELP kube_pod_init_container_status_last_terminated_timestamp Last terminated time for a pod init container in unix timestamp.
 				# TYPE kube_pod_container_resource_limits gauge
 				# TYPE kube_pod_container_resource_requests gauge
 				# TYPE kube_pod_init_container_resource_limits gauge
 				# TYPE kube_pod_init_container_resource_requests gauge
 				# TYPE kube_pod_init_container_status_last_terminated_reason gauge
+				# TYPE kube_pod_init_container_status_last_terminated_timestamp gauge
 				kube_pod_container_resource_limits{container="pod1_con1",namespace="ns1",node="",pod="pod1",resource="cpu",unit="core",uid="uid1"} 0.2
 				kube_pod_container_resource_limits{container="pod1_con1",namespace="ns1",node="",pod="pod1",resource="ephemeral_storage",unit="byte",uid="uid1"} 3e+08
 				kube_pod_container_resource_limits{container="pod1_con1",namespace="ns1",node="",pod="pod1",resource="memory",unit="byte",uid="uid1"} 1e+08
@@ -1802,6 +1808,7 @@ func TestPodStore(t *testing.T) {
 				"kube_pod_init_container_resource_limits",
 				"kube_pod_init_container_resource_requests",
 				"kube_pod_init_container_status_last_terminated_reason",
+				"kube_pod_init_container_status_last_terminated_timestamp",
 			},
 		},
 		{
diff --git a/pkg/app/server_test.go b/pkg/app/server_test.go
index e65143d11f..95fb0f1ebf 100644
--- a/pkg/app/server_test.go
+++ b/pkg/app/server_test.go
@@ -229,7 +229,9 @@ func TestFullScrapeCycle(t *testing.T) {
 # HELP kube_pod_init_container_info [STABLE] Information about an init container in a pod.
 # HELP kube_pod_init_container_resource_limits The number of requested limit resource by an init container.
 # HELP kube_pod_init_container_resource_requests The number of requested request resource by an init container.
+# HELP kube_pod_init_container_state_started [STABLE] Start time in unix timestamp for an_init_pod container.
 # HELP kube_pod_init_container_status_last_terminated_reason Describes the last reason the init container was in terminated state.
+# HELP kube_pod_init_container_status_last_terminated_timestamp Last terminated time for a pod init container in unix timestamp.
 # HELP kube_pod_init_container_status_ready [STABLE] Describes whether the init containers readiness check succeeded.
 # HELP kube_pod_init_container_status_restarts_total [STABLE] The number of restarts for the init container.
 # HELP kube_pod_init_container_status_running [STABLE] Describes whether the init container is currently in running state.
@@ -283,7 +285,9 @@ func TestFullScrapeCycle(t *testing.T) {
 # TYPE kube_pod_init_container_info gauge
 # TYPE kube_pod_init_container_resource_limits gauge
 # TYPE kube_pod_init_container_resource_requests gauge
+# TYPE kube_pod_init_container_state_started gauge
 # TYPE kube_pod_init_container_status_last_terminated_reason gauge
+# TYPE kube_pod_init_container_status_last_terminated_timestamp gauge
 # TYPE kube_pod_init_container_status_ready gauge
 # TYPE kube_pod_init_container_status_restarts_total counter
 # TYPE kube_pod_init_container_status_running gauge