diff --git a/api/handlers.go b/api/handlers.go
index eef7dd9457..d75c6d3e6b 100644
--- a/api/handlers.go
+++ b/api/handlers.go
@@ -327,8 +327,8 @@ func getContainersJSON(c *context, w http.ResponseWriter, r *http.Request) {
 	// Filtering: select the containers we want to return.
 	candidates := []*cluster.Container{}
 	for _, container := range c.cluster.Containers() {
-		// Skip stopped containers unless -a was specified.
-		if !container.Info.State.Running && !all && before == nil && limit <= 0 {
+		// Skip stopped containers unless -a was specified
+		if (!container.Info.State.Running || !container.Engine.IsHealthy()) && !all && before == nil && limit <= 0 {
 			continue
 		}
 
diff --git a/test/integration/api/ps.bats b/test/integration/api/ps.bats
index 374771eb70..c2ce5816cb 100644
--- a/test/integration/api/ps.bats
+++ b/test/integration/api/ps.bats
@@ -7,6 +7,30 @@ function teardown() {
 	stop_docker
 }
 
+@test "docker ps - host down" {
+	start_docker_with_busybox 2
+	swarm_manage --engine-refresh-min-interval=1s --engine-refresh-max-interval=1s --engine-failure-retry=1 ${HOSTS[0]},${HOSTS[1]}
+
+	docker_swarm run -d -e constraint:node==node-0 busybox sleep 42
+	docker_swarm run -d -e constraint:node==node-1 busybox sleep 42
+
+	run docker_swarm ps
+	[ "${#lines[@]}" -eq  3 ]
+
+	# Stop node-0
+	docker_host stop ${DOCKER_CONTAINERS[0]}
+
+	# Wait for Swarm to detect the node failure.
+	retry 5 1 eval "docker_swarm info | grep -q 'Unhealthy'"
+
+	run docker_swarm ps
+	# container with host down shouldn't be displyed since they are not `running`
+	[ "${#lines[@]}" -eq  2 ]
+
+	run docker_swarm ps -a
+	[ "${#lines[@]}" -eq  3 ]
+}
+
 @test "docker ps -n" {
 	start_docker_with_busybox 2
 	swarm_manage