diff --git a/modules/dnn/src/tensorflow/tf_importer.cpp b/modules/dnn/src/tensorflow/tf_importer.cpp
index ca9d7c5e21..521c8ce4c3 100644
--- a/modules/dnn/src/tensorflow/tf_importer.cpp
+++ b/modules/dnn/src/tensorflow/tf_importer.cpp
@@ -914,7 +914,12 @@ void TFImporter::parseBias(tensorflow::GraphDef& net, const tensorflow::NodeDef&
         layer_id[name] = id;
 
         // one input only
-        connect(layer_id, dstNet, parsePin(layer.input(0)), id, 0);
+        Pin inp0 = parsePin(layer.input(0));
+        if (layer_id.find(inp0.name) != layer_id.end())
+            // First operand is a constant.
+            connect(layer_id, dstNet, parsePin(layer.input(0)), id, 0);
+        else
+            connect(layer_id, dstNet, parsePin(layer.input(1)), id, 0);
     }
     else
     {
diff --git a/modules/dnn/test/test_tf_importer.cpp b/modules/dnn/test/test_tf_importer.cpp
index 1a2b976eb8..cdf3794bf1 100644
--- a/modules/dnn/test/test_tf_importer.cpp
+++ b/modules/dnn/test/test_tf_importer.cpp
@@ -559,6 +559,18 @@ TEST_P(Test_TensorFlow_layers, l2_normalize)
     runTensorFlowNet("l2_normalize");
 }
 
+TEST_P(Test_TensorFlow_layers, BiasAdd)
+{
+#if defined(INF_ENGINE_RELEASE) && INF_ENGINE_VER_MAJOR_GE(2019010000)
+    if (backend == DNN_BACKEND_INFERENCE_ENGINE_NN_BUILDER_2019 && target == DNN_TARGET_MYRIAD
+            && getInferenceEngineVPUType() == CV_DNN_INFERENCE_ENGINE_VPU_TYPE_MYRIAD_X
+    )
+        applyTestTag(CV_TEST_TAG_DNN_SKIP_IE_MYRIAD_X, CV_TEST_TAG_DNN_SKIP_IE_NN_BUILDER, CV_TEST_TAG_DNN_SKIP_IE_VERSION);
+#endif
+
+    runTensorFlowNet("bias_add_1");
+}
+
 // TODO: fix it and add to l2_normalize
 TEST_P(Test_TensorFlow_layers, l2_normalize_3d)
 {