diff --git a/modules/dnn/test/test_backends.cpp b/modules/dnn/test/test_backends.cpp
index b9958c107e..5426a11a3f 100644
--- a/modules/dnn/test/test_backends.cpp
+++ b/modules/dnn/test/test_backends.cpp
@@ -196,7 +196,7 @@ TEST_P(DNNTestNetwork, MobileNet_SSD_Caffe)
     Mat inp = blobFromImage(sample, 1.0f / 127.5, Size(300, 300), Scalar(127.5, 127.5, 127.5), false);
     float diffScores = (target == DNN_TARGET_OPENCL_FP16 || target == DNN_TARGET_MYRIAD) ? 1.5e-2 : 0.0;
     float diffSquares = (target == DNN_TARGET_MYRIAD) ? 0.063  : 0.0;
-    float detectionConfThresh = (target == DNN_TARGET_MYRIAD) ? 0.252  : FLT_MIN;
+    float detectionConfThresh = (target == DNN_TARGET_MYRIAD) ? 0.262  : FLT_MIN;
          processNet("dnn/MobileNetSSD_deploy.caffemodel", "dnn/MobileNetSSD_deploy.prototxt",
                     inp, "detection_out", "", diffScores, diffSquares, detectionConfThresh);
     expectNoFallbacksFromIE(net);
@@ -301,8 +301,8 @@ TEST_P(DNNTestNetwork, OpenPose_pose_coco)
         applyTestTag(CV_TEST_TAG_DNN_SKIP_IE_MYRIAD_X, CV_TEST_TAG_DNN_SKIP_IE_VERSION);
 #endif
 
-    const float l1 = (target == DNN_TARGET_MYRIAD) ? 0.0056 : 0.0;
-    const float lInf = (target == DNN_TARGET_MYRIAD) ? 0.072 : 0.0;
+    const float l1 = (target == DNN_TARGET_MYRIAD) ? 0.009 : 0.0;
+    const float lInf = (target == DNN_TARGET_MYRIAD) ? 0.09 : 0.0;
     processNet("dnn/openpose_pose_coco.caffemodel", "dnn/openpose_pose_coco.prototxt",
                Size(46, 46), "", "", l1, lInf);
     expectNoFallbacksFromIE(net);
@@ -321,8 +321,8 @@ TEST_P(DNNTestNetwork, OpenPose_pose_mpi)
 #endif
 
     // output range: [-0.001, 0.97]
-    const float l1 = (target == DNN_TARGET_MYRIAD) ? 0.012 : 0.0;
-    const float lInf = (target == DNN_TARGET_MYRIAD || target == DNN_TARGET_OPENCL_FP16) ? 0.16 : 0.0;
+    const float l1 = (target == DNN_TARGET_MYRIAD) ? 0.02 : 0.0;
+    const float lInf = (target == DNN_TARGET_MYRIAD || target == DNN_TARGET_OPENCL_FP16) ? 0.2 : 0.0;
     processNet("dnn/openpose_pose_mpi.caffemodel", "dnn/openpose_pose_mpi.prototxt",
                Size(46, 46), "", "", l1, lInf);
     expectNoFallbacksFromIE(net);
diff --git a/modules/dnn/test/test_ie_models.cpp b/modules/dnn/test/test_ie_models.cpp
index 2ba7d80f58..da6cbd6fbc 100644
--- a/modules/dnn/test/test_ie_models.cpp
+++ b/modules/dnn/test/test_ie_models.cpp
@@ -288,6 +288,15 @@ TEST_P(DNNTestOpenVINO, models)
     ASSERT_FALSE(backendId != DNN_BACKEND_INFERENCE_ENGINE_NN_BUILDER_2019 && backendId != DNN_BACKEND_INFERENCE_ENGINE_NGRAPH) <<
         "Inference Engine backend is required";
 
+#if INF_ENGINE_VER_MAJOR_EQ(2021040000)
+    if (targetId == DNN_TARGET_MYRIAD && (
+            modelName == "person-detection-retail-0013" ||  // ncDeviceOpen:1013 Failed to find booted device after boot
+            modelName == "age-gender-recognition-retail-0013"  // ncDeviceOpen:1013 Failed to find booted device after boot
+        )
+    )
+        applyTestTag(CV_TEST_TAG_DNN_SKIP_IE_MYRIAD, CV_DNN_BACKEND_INFERENCE_ENGINE_NGRAPH, CV_TEST_TAG_DNN_SKIP_IE_VERSION);
+#endif
+
 #if INF_ENGINE_VER_MAJOR_GE(2020020000)
     if (targetId == DNN_TARGET_MYRIAD && backendId == DNN_BACKEND_INFERENCE_ENGINE_NN_BUILDER_2019)
     {
diff --git a/modules/dnn/test/test_torch_importer.cpp b/modules/dnn/test/test_torch_importer.cpp
index 8738e5e25c..7316a06856 100644
--- a/modules/dnn/test/test_torch_importer.cpp
+++ b/modules/dnn/test/test_torch_importer.cpp
@@ -254,9 +254,14 @@ TEST_P(Test_Torch_layers, net_padding)
 
 TEST_P(Test_Torch_layers, net_non_spatial)
 {
-#if defined(INF_ENGINE_RELEASE) && INF_ENGINE_VER_MAJOR_EQ(2021030000)
+#if defined(INF_ENGINE_RELEASE) && ( \
+    INF_ENGINE_VER_MAJOR_EQ(2021030000) || \
+    INF_ENGINE_VER_MAJOR_EQ(2021040000) \
+)
     if (backend == DNN_BACKEND_INFERENCE_ENGINE_NGRAPH && target == DNN_TARGET_MYRIAD)
-        applyTestTag(CV_TEST_TAG_DNN_SKIP_IE_MYRIAD, CV_TEST_TAG_DNN_SKIP_IE_NGRAPH);  // crash
+        // 2021.3: crash
+        // 2021.4: [ GENERAL_ERROR ]  AssertionFailed: !out.networkInputs.empty()
+        applyTestTag(CV_TEST_TAG_DNN_SKIP_IE_MYRIAD, CV_TEST_TAG_DNN_SKIP_IE_NGRAPH);
     if (backend == DNN_BACKEND_INFERENCE_ENGINE_NGRAPH && target == DNN_TARGET_OPENCL)
         applyTestTag(CV_TEST_TAG_DNN_SKIP_IE_OPENCL, CV_TEST_TAG_DNN_SKIP_IE_NGRAPH);  // exception
     if (backend == DNN_BACKEND_INFERENCE_ENGINE_NGRAPH && target == DNN_TARGET_OPENCL_FP16)