diff --git a/CHANGELOG.next.asciidoc b/CHANGELOG.next.asciidoc
index 7615a029a54..6e6a08492a8 100644
--- a/CHANGELOG.next.asciidoc
+++ b/CHANGELOG.next.asciidoc
@@ -83,6 +83,7 @@ https://github.com/elastic/beats/compare/v7.0.0-alpha2...master[Check the HEAD d
 
 *Affecting all Beats*
 
+- Ensure that init containers are no longer tailed after they stop {pull}14394[14394]
 
 *Auditbeat*
 
diff --git a/libbeat/autodiscover/providers/kubernetes/kubernetes.go b/libbeat/autodiscover/providers/kubernetes/kubernetes.go
index e8c197634cf..4ee993eb7aa 100644
--- a/libbeat/autodiscover/providers/kubernetes/kubernetes.go
+++ b/libbeat/autodiscover/providers/kubernetes/kubernetes.go
@@ -198,9 +198,14 @@ func (p *Provider) emitEvents(pod *kubernetes.Pod, flag string, containers []kub
 	containerIDs := map[string]string{}
 	runtimes := map[string]string{}
 	for _, c := range containerstatuses {
-		cid, runtime := kubernetes.ContainerIDWithRuntime(c)
-		containerIDs[c.Name] = cid
-		runtimes[c.Name] = runtime
+		// If the container is not being stopped then add the container only if it is in running state.
+		// This makes sure that we dont keep tailing init container logs after they have stopped.
+		// Emit the event in case that the pod is being stopped.
+		if flag == "stop" || c.State.Running != nil {
+			cid, runtime := kubernetes.ContainerIDWithRuntime(c)
+			containerIDs[c.Name] = cid
+			runtimes[c.Name] = runtime
+		}
 	}
 
 	// Emit container and port information
diff --git a/libbeat/autodiscover/providers/kubernetes/kubernetes_test.go b/libbeat/autodiscover/providers/kubernetes/kubernetes_test.go
index f2fffb17941..796c6d83efc 100644
--- a/libbeat/autodiscover/providers/kubernetes/kubernetes_test.go
+++ b/libbeat/autodiscover/providers/kubernetes/kubernetes_test.go
@@ -192,6 +192,9 @@ func TestEmitEvent(t *testing.T) {
 						{
 							Name:        name,
 							ContainerID: containerID,
+							State: v1.ContainerState{
+								Running: &v1.ContainerStateRunning{},
+							},
 						},
 					},
 				},