diff --git a/core/src/main/scala/org/apache/spark/scheduler/TaskSetManager.scala b/core/src/main/scala/org/apache/spark/scheduler/TaskSetManager.scala
index f1339d530ad4..ddc59b5721ef 100644
--- a/core/src/main/scala/org/apache/spark/scheduler/TaskSetManager.scala
+++ b/core/src/main/scala/org/apache/spark/scheduler/TaskSetManager.scala
@@ -780,7 +780,8 @@ private[spark] class TaskSetManager(
     // and we are not using an external shuffle server which could serve the shuffle outputs.
     // The reason is the next stage wouldn't be able to fetch the data from this dead executor
     // so we would need to rerun these tasks on other executors.
-    if (tasks(0).isInstanceOf[ShuffleMapTask] && !env.blockManager.externalShuffleServiceEnabled) {
+    if (tasks(0).isInstanceOf[ShuffleMapTask] && !env.blockManager.externalShuffleServiceEnabled
+      && !isZombie) {
       for ((tid, info) <- taskInfos if info.executorId == execId) {
         val index = taskInfos(tid).index
         if (successful(index)) {
diff --git a/core/src/test/scala/org/apache/spark/scheduler/TaskSetManagerSuite.scala b/core/src/test/scala/org/apache/spark/scheduler/TaskSetManagerSuite.scala
index d35ca411f408..c9b927ce1b98 100644
--- a/core/src/test/scala/org/apache/spark/scheduler/TaskSetManagerSuite.scala
+++ b/core/src/test/scala/org/apache/spark/scheduler/TaskSetManagerSuite.scala
@@ -635,6 +635,52 @@ class TaskSetManagerSuite extends SparkFunSuite with LocalSparkContext with Logg
     assert(thrown2.getMessage().contains("bigger than spark.driver.maxResultSize"))
   }
 
+  test("taskSetManager should not send Resubmitted tasks after being a zombie") {
+    // Regression test for SPARK-13931
+    val conf = new SparkConf().set("spark.speculation", "true")
+    sc = new SparkContext("local", "test", conf)
+
+    val sched = new FakeTaskScheduler(sc, ("execA", "host1"), ("execB", "host2"))
+
+    // count for Resubmitted tasks
+    var resubmittedTasks = 0
+    val dagScheduler = new FakeDAGScheduler(sc, sched) {
+      override def taskEnded(task: Task[_], reason: TaskEndReason, result: Any,
+                             accumUpdates: Seq[AccumulableInfo], taskInfo: TaskInfo) {
+        sched.endedTasks(taskInfo.index) = reason
+        reason match {
+          case Resubmitted => resubmittedTasks += 1
+          case _ =>
+        }
+      }
+    }
+    sched.setDAGScheduler(dagScheduler)
+
+    val tasks = Array.tabulate[Task[_]](1) { i =>
+      new ShuffleMapTask(i, 0, null, new Partition {
+        override def index: Int = 0
+      }, Seq(TaskLocation("host1", "execA")), Seq.empty)
+    }
+    val taskSet = new TaskSet(tasks, 0, 0, 0, null)
+    val manager = new TaskSetManager(sched, taskSet, MAX_TASK_FAILURES)
+    manager.speculatableTasks += 0
+    val task1 = manager.resourceOffer("execA", "host1", TaskLocality.PROCESS_LOCAL).get
+    val task2 = manager.resourceOffer("execB", "host2", TaskLocality.ANY).get
+
+    assert(manager.runningTasks == 2)
+    assert(manager.isZombie == false)
+
+    val directTaskResult = new DirectTaskResult[String](null, Seq()) {
+      override def value(): String = ""
+    }
+    manager.handleSuccessfulTask(task1.taskId, directTaskResult)
+    assert(manager.isZombie == true)
+    assert(resubmittedTasks == 0)
+
+    manager.executorLost("execB", "host2", new SlaveLost())
+    assert(resubmittedTasks == 0)
+  }
+
   test("speculative and noPref task should be scheduled after node-local") {
     sc = new SparkContext("local", "test")
     val sched = new FakeTaskScheduler(