diff --git a/src/ray/core_worker/lib/java/org_ray_runtime_object_NativeObjectStore.cc b/src/ray/core_worker/lib/java/org_ray_runtime_object_NativeObjectStore.cc
index 94d71223f..24ad763bb 100644
--- a/src/ray/core_worker/lib/java/org_ray_runtime_object_NativeObjectStore.cc
+++ b/src/ray/core_worker/lib/java/org_ray_runtime_object_NativeObjectStore.cc
@@ -46,11 +46,6 @@ Java_org_ray_runtime_object_NativeObjectStore_nativePut__J_3BLorg_ray_runtime_ob
   RAY_CHECK(ray_object != nullptr);
   auto status =
       GetObjectInterfaceFromPointer(nativeCoreWorkerPointer).Put(*ray_object, object_id);
-  if (status.IsIOError() &&
-      status.message() == "object already exists in the plasma store") {
-    // Ignore duplicated put on the same object ID.
-    return;
-  }
   THROW_EXCEPTION_AND_RETURN_IF_NOT_OK(env, status, (void)0);
 }
 
diff --git a/src/ray/core_worker/store_provider/local_plasma_provider.cc b/src/ray/core_worker/store_provider/local_plasma_provider.cc
index 7441883c5..8295a9fd5 100644
--- a/src/ray/core_worker/store_provider/local_plasma_provider.cc
+++ b/src/ray/core_worker/store_provider/local_plasma_provider.cc
@@ -19,9 +19,16 @@ Status CoreWorkerLocalPlasmaStoreProvider::Put(const RayObject &object,
   std::shared_ptr<arrow::Buffer> out_buffer;
   {
     std::unique_lock<std::mutex> guard(store_client_mutex_);
-    RAY_ARROW_RETURN_NOT_OK(store_client_.Create(
+    arrow::Status status = store_client_.Create(
         plasma_id, data ? data->Size() : 0, metadata ? metadata->Data() : nullptr,
-        metadata ? metadata->Size() : 0, &out_buffer));
+        metadata ? metadata->Size() : 0, &out_buffer);
+    if (plasma::IsPlasmaObjectExists(status)) {
+      // TODO(hchen): Should we propagate this error out of `ObjectInterface::put`?
+      RAY_LOG(WARNING) << "Trying to put an object that already existed in plasma: "
+                       << object_id << ".";
+      return Status::OK();
+    }
+    RAY_ARROW_RETURN_NOT_OK(status);
   }
 
   if (data != nullptr) {
diff --git a/src/ray/core_worker/transport/direct_actor_transport.cc b/src/ray/core_worker/transport/direct_actor_transport.cc
index 2f5733d3c..0c59fa0b7 100644
--- a/src/ray/core_worker/transport/direct_actor_transport.cc
+++ b/src/ray/core_worker/transport/direct_actor_transport.cc
@@ -63,7 +63,8 @@ Status CoreWorkerDirectActorTaskSubmitter::SubmitTask(
 
     // Submit request.
     auto &client = rpc_clients_[actor_id];
-    return PushTask(*client, *request, task_id, num_returns);
+    PushTask(*client, *request, task_id, num_returns);
+    return Status::OK();
   } else {
     // Actor is dead, treat the task as failure.
     RAY_CHECK(iter->second.state_ == ActorTableData::DEAD);
@@ -92,6 +93,17 @@ Status CoreWorkerDirectActorTaskSubmitter::SubscribeActorUpdates() {
     } else {
       // Remove rpc client if it's dead or being reconstructed.
       rpc_clients_.erase(actor_id);
+      // If this actor is permanently dead and there are pending requests, treat
+      // the pending tasks as failed.
+      if (actor_data.state() == ActorTableData::DEAD &&
+          pending_requests_.count(actor_id) > 0) {
+        for (const auto &request : pending_requests_[actor_id]) {
+          TreatTaskAsFailed(TaskID::FromBinary(request->task_spec().task_id()),
+                            request->task_spec().num_returns(),
+                            rpc::ErrorType::ACTOR_DIED);
+        }
+        pending_requests_.erase(actor_id);
+      }
     }
 
     RAY_LOG(INFO) << "received notification on actor, state="
@@ -114,17 +126,16 @@ void CoreWorkerDirectActorTaskSubmitter::ConnectAndSendPendingTasks(
   auto &requests = pending_requests_[actor_id];
   while (!requests.empty()) {
     const auto &request = *requests.front();
-    auto status =
-        PushTask(*client, request, TaskID::FromBinary(request.task_spec().task_id()),
-                 request.task_spec().num_returns());
+    PushTask(*client, request, TaskID::FromBinary(request.task_spec().task_id()),
+             request.task_spec().num_returns());
     requests.pop_front();
   }
 }
 
-Status CoreWorkerDirectActorTaskSubmitter::PushTask(rpc::DirectActorClient &client,
-                                                    const rpc::PushTaskRequest &request,
-                                                    const TaskID &task_id,
-                                                    int num_returns) {
+void CoreWorkerDirectActorTaskSubmitter::PushTask(rpc::DirectActorClient &client,
+                                                  const rpc::PushTaskRequest &request,
+                                                  const TaskID &task_id,
+                                                  int num_returns) {
   auto status = client.PushTask(
       request,
       [this, task_id, num_returns](Status status, const rpc::PushTaskReply &reply) {
@@ -153,7 +164,9 @@ Status CoreWorkerDirectActorTaskSubmitter::PushTask(rpc::DirectActorClient &clie
               store_provider_->Put(RayObject(data_buffer, metadata_buffer), object_id));
         }
       });
-  return status;
+  if (!status.ok()) {
+    TreatTaskAsFailed(task_id, num_returns, rpc::ErrorType::ACTOR_DIED);
+  }
 }
 
 void CoreWorkerDirectActorTaskSubmitter::TreatTaskAsFailed(
diff --git a/src/ray/core_worker/transport/direct_actor_transport.h b/src/ray/core_worker/transport/direct_actor_transport.h
index 90a256900..f9528a852 100644
--- a/src/ray/core_worker/transport/direct_actor_transport.h
+++ b/src/ray/core_worker/transport/direct_actor_transport.h
@@ -42,15 +42,17 @@ class CoreWorkerDirectActorTaskSubmitter : public CoreWorkerTaskSubmitter {
   /// Subscribe to all actor updates.
   Status SubscribeActorUpdates();
 
-  /// Helper function to push a task to an actor.
+  /// Push a task to a remote actor via the given client.
+  /// Note, this function doesn't return any error status code. If an error occurs while
+  /// sending the request, this task will be treated as failed.
   ///
   /// \param[in] client The RPC client to send tasks to an actor.
   /// \param[in] request The request to send.
   /// \param[in] task_id The ID of a task.
   /// \param[in] num_returns Number of return objects.
-  /// \return Status.
-  Status PushTask(rpc::DirectActorClient &client, const rpc::PushTaskRequest &request,
-                  const TaskID &task_id, int num_returns);
+  /// \return Void.
+  void PushTask(rpc::DirectActorClient &client, const rpc::PushTaskRequest &request,
+                const TaskID &task_id, int num_returns);
 
   /// Treat a task as failed.
   ///
diff --git a/src/ray/core_worker/transport/raylet_transport.cc b/src/ray/core_worker/transport/raylet_transport.cc
index c6bd9ab8e..004434f9d 100644
--- a/src/ray/core_worker/transport/raylet_transport.cc
+++ b/src/ray/core_worker/transport/raylet_transport.cc
@@ -49,10 +49,10 @@ void CoreWorkerRayletTaskReceiver::HandleAssignTask(
         /*transport_type=*/static_cast<int>(TaskTransportType::RAYLET));
     Status status = object_interface_.Put(*results[i], id);
     if (!status.ok()) {
-      // TODO (kfstorm): RAY_LOG(FATAL) except the error is about the object to put
-      // already exists.
-      RAY_LOG(WARNING) << "Task " << task_spec.TaskId() << " failed to put object " << id
-                       << " in store: " << status.message();
+      // NOTE(hchen): `PlasmaObjectExists` error is already ignored inside
+      // `ObjectInterface::Put`, we treat other error types as fatal here.
+      RAY_LOG(FATAL) << "Task " << task_spec.TaskId() << " failed to put object " << id
+                     << " in store: " << status.message();
     } else {
       RAY_LOG(DEBUG) << "Task " << task_spec.TaskId() << " put object " << id
                      << " in store.";