diff --git a/modules/dnn/src/onnx/onnx_importer.cpp b/modules/dnn/src/onnx/onnx_importer.cpp
index 47ec830313..736f3a27de 100644
--- a/modules/dnn/src/onnx/onnx_importer.cpp
+++ b/modules/dnn/src/onnx/onnx_importer.cpp
@@ -455,7 +455,11 @@ void ONNXImporter::addLayer(LayerParams& layerParams,
     int id = dstNet.addLayer(layerParams.name, layerParams.type, layerParams);
     for (int i = 0; i < node_proto.output_size(); ++i)
     {
-        layer_id.insert(std::make_pair(node_proto.output(i), LayerInfo(id, i)));
+        const std::string& output_name = node_proto.output(i);
+        if (!output_name.empty())
+        {
+            layer_id.insert(std::make_pair(output_name, LayerInfo(id, i)));
+        }
     }
 
     std::vector<MatShape> layerInpShapes, layerOutShapes, layerInternalShapes;
@@ -478,7 +482,11 @@ void ONNXImporter::addLayer(LayerParams& layerParams,
     layer->getMemoryShapes(layerInpShapes, 0, layerOutShapes, layerInternalShapes);
     for (int i = 0; i < node_proto.output_size() && i < (int)layerOutShapes.size(); ++i)
     {
-        outShapes[node_proto.output(i)] = layerOutShapes[i];
+        const std::string& output_name = node_proto.output(i);
+        if (!output_name.empty())
+        {
+            outShapes[node_proto.output(i)] = layerOutShapes[i];
+        }
     }
 }
 
@@ -678,10 +686,30 @@ void ONNXImporter::populateNet()
     CV_LOG_DEBUG(NULL, "DNN/ONNX: import completed!");
 }
 
+const std::string& extractNodeName(const opencv_onnx::NodeProto& node_proto)
+{
+    if (node_proto.has_name() && !node_proto.name().empty())
+    {
+        return node_proto.name();
+    }
+    for (int i = 0; i < node_proto.output_size(); ++i)
+    {
+        const std::string& name = node_proto.output(i);
+        // There are two ways to leave an optional input or output unspecified:
+        // the first, available only for trailing inputs and outputs, is to simply not provide that input;
+        // the second method is to use an empty string in place of an input or output name.
+        if (!name.empty())
+        {
+            return name;
+        }
+    }
+    CV_Error(Error::StsAssert, "Couldn't deduce Node name.");
+}
+
 void ONNXImporter::handleNode(const opencv_onnx::NodeProto& node_proto)
 {
     CV_Assert(node_proto.output_size() >= 1);
-    std::string name = node_proto.output(0);
+    const std::string& name = extractNodeName(node_proto);
     const std::string& layer_type = node_proto.op_type();
     const std::string& layer_type_domain = node_proto.has_domain() ? node_proto.domain() : std::string();
     if (!layer_type_domain.empty() && layer_type_domain != "ai.onnx")
@@ -802,6 +830,7 @@ void ONNXImporter::parseReduce(LayerParams& layerParams, const opencv_onnx::Node
 {
     opencv_onnx::NodeProto node_proto = node_proto_;
     const std::string& layer_type = node_proto.op_type();
+    const std::string output_name = node_proto.output(0);
 
     CV_Assert(node_proto.input_size() == 1);
     layerParams.type = "Pooling";
@@ -922,7 +951,7 @@ void ONNXImporter::parseReduce(LayerParams& layerParams, const opencv_onnx::Node
         layerParams.set("dim", DictValue::arrayInt(&targetShape[0], targetShape.size()));
 
         node_proto.set_input(0, node_proto.output(0));
-        node_proto.set_output(0, layerParams.name);
+        node_proto.set_output(0, output_name);
     }
     else if (!layerParams.has("axes") && (layer_type == "ReduceMean" || layer_type == "ReduceSum" || layer_type == "ReduceMax"))
     {
@@ -955,7 +984,7 @@ void ONNXImporter::parseReduce(LayerParams& layerParams, const opencv_onnx::Node
         layerParams.set("dim", DictValue::arrayInt(targetShape.data(), targetShape.size()));
 
         node_proto.set_input(0, node_proto.output(0));
-        node_proto.set_output(0, layerParams.name);
+        node_proto.set_output(0, output_name);
     }
     addLayer(layerParams, node_proto);
 }
@@ -1045,7 +1074,7 @@ void ONNXImporter::parseSlice(LayerParams& layerParams, const opencv_onnx::NodeP
                 {
                     Mat flipped;
                     flip(inp, flipped, 0);
-                    addConstant(layerParams.name, flipped);
+                    addConstant(node_proto.output(0), flipped);
                     return;
                 }
             }
@@ -1065,7 +1094,7 @@ void ONNXImporter::parseSlice(LayerParams& layerParams, const opencv_onnx::NodeP
         inputs.push_back(inp);
         runLayer(layerParams, inputs, sliced);
         CV_Assert(sliced.size() == 1);
-        addConstant(layerParams.name, sliced[0]);
+        addConstant(node_proto.output(0), sliced[0]);
         return;
     }
     addLayer(layerParams, node_proto);
@@ -1130,7 +1159,7 @@ void ONNXImporter::parseBias(LayerParams& layerParams, const opencv_onnx::NodePr
         Mat blob_1 = getBlob(node_proto, 1);
         CV_Assert(blob_0.size == blob_1.size);
         Mat output = isSub ? (blob_0 - blob_1) : (blob_0 + blob_1);
-        addConstant(layerParams.name, output);
+        addConstant(node_proto.output(0), output);
         return;
     }
     else if (is_const_0 || is_const_1)
@@ -1244,12 +1273,13 @@ void ONNXImporter::parseConstant(LayerParams& layerParams, const opencv_onnx::No
 {
     CV_Assert(node_proto.input_size() == 0);
     CV_Assert(layerParams.blobs.size() == 1);
-    addConstant(layerParams.name, layerParams.blobs[0]);
+    addConstant(node_proto.output(0), layerParams.blobs[0]);
 }
 
 void ONNXImporter::parseLSTM(LayerParams& layerParams, const opencv_onnx::NodeProto& node_proto_)
 {
     opencv_onnx::NodeProto node_proto = node_proto_;
+    const std::string output_name = node_proto.output(0);
     LayerParams lstmParams = layerParams;
     lstmParams.name += "/lstm";
 
@@ -1331,7 +1361,7 @@ void ONNXImporter::parseLSTM(LayerParams& layerParams, const opencv_onnx::NodePr
     layerParams.type = "Reshape";
     layerParams.set("dim", DictValue::arrayInt(&lstmShape[0], lstmShape.size()));
     node_proto.set_input(0, lstmParams.name);  // redirect input to LSTM
-    node_proto.set_output(0, layerParams.name);  // keep origin LSTM's name
+    node_proto.set_output(0, output_name);  // keep origin LSTM's name
     addLayer(layerParams, node_proto);
 }
 
@@ -1573,6 +1603,7 @@ void ONNXImporter::parseMul(LayerParams& layerParams, const opencv_onnx::NodePro
 {
     opencv_onnx::NodeProto node_proto = node_proto_;
     const std::string& layer_type = node_proto.op_type();
+    const std::string output_name = node_proto.output(0);
     CV_Assert(node_proto.input_size() == 2);
 
     bool isDiv = layer_type == "Div";
@@ -1657,7 +1688,7 @@ void ONNXImporter::parseMul(LayerParams& layerParams, const opencv_onnx::NodePro
 
         if (inp0.dims == 1 && inp1.dims == 1)
             out.dims = 1;  // to workaround dims == 1
-        addConstant(layerParams.name, out);
+        addConstant(output_name, out);
         return;
     }
     else if (outShapes[node_proto.input(0)] == outShapes[node_proto.input(1)])
@@ -1673,7 +1704,7 @@ void ONNXImporter::parseMul(LayerParams& layerParams, const opencv_onnx::NodePro
             opencv_onnx::NodeProto proto;
             proto.add_input(node_proto.input(1));
             proto.add_input(node_proto.input(0));
-            proto.add_output(layerParams.name);
+            proto.add_output(output_name);
             node_proto = proto;
         }
 
@@ -1851,7 +1882,7 @@ void ONNXImporter::parseTranspose(LayerParams& layerParams, const opencv_onnx::N
         std::vector<Mat> inputs(1, getBlob(node_proto, 0)), transposed;
         runLayer(layerParams, inputs, transposed);
         CV_Assert(transposed.size() == 1);
-        addConstant(layerParams.name, transposed[0]);
+        addConstant(node_proto.output(0), transposed[0]);
         return;
     }
     addLayer(layerParams, node_proto);
@@ -1903,7 +1934,7 @@ void ONNXImporter::parseSqueeze(LayerParams& layerParams, const opencv_onnx::Nod
         Mat inp = getBlob(node_proto, 0);
         Mat out = inp.reshape(1, outShape);
         out.dims = outShape.size();  // to workaround dims == 1
-        addConstant(layerParams.name, out);
+        addConstant(node_proto.output(0), out);
         return;
     }
     addLayer(layerParams, node_proto);
@@ -1930,7 +1961,7 @@ void ONNXImporter::parseFlatten(LayerParams& layerParams, const opencv_onnx::Nod
         }
 
         Mat output = input.reshape(1, 2, out_size);
-        addConstant(layerParams.name, output);
+        addConstant(node_proto.output(0), output);
         return;
     }
     IterShape_t shapeIt = outShapes.find(node_proto.input(0));
@@ -2002,7 +2033,7 @@ void ONNXImporter::parseUnsqueeze(LayerParams& layerParams, const opencv_onnx::N
         }
 
         Mat out = input.reshape(0, dims);
-        addConstant(layerParams.name, out);
+        addConstant(node_proto.output(0), out);
         return;
     }
 
@@ -2039,6 +2070,7 @@ void ONNXImporter::parseExpand(LayerParams& layerParams, const opencv_onnx::Node
     CV_CheckEQ(node_proto.input_size(), 2, "");
     const std::string& input0 = node_proto.input(0);
     const std::string& input1 = node_proto.input(1);
+    const std::string output_name = node_proto.output(0);
     Mat newShapeMat = getBlob(input1);
     MatShape targetShape(newShapeMat.ptr<int>(), newShapeMat.ptr<int>() + newShapeMat.total());
 
@@ -2108,7 +2140,7 @@ void ONNXImporter::parseExpand(LayerParams& layerParams, const opencv_onnx::Node
         input = input.reshape(0, total(inpShape, 0, broadcast_axes[0]));
         Mat output = cv::repeat(input, 1, targetShape[broadcast_axes[0]]);
         output = output.reshape(0, targetShape);
-        addConstant(layerParams.name, output);
+        addConstant(output_name, output);
         return;
     }
 
@@ -2138,7 +2170,7 @@ void ONNXImporter::parseExpand(LayerParams& layerParams, const opencv_onnx::Node
 
         layerParams.set("axis", broadcast_axes[0]);
         layerParams.type = "Concat";
-        node_proto.set_output(0, layerParams.name);
+        node_proto.set_output(0, output_name);
     }
     else if (broadcast_axes.empty())
     {
@@ -2163,7 +2195,7 @@ void ONNXImporter::parseReshape(LayerParams& layerParams, const opencv_onnx::Nod
         if (layer_id.find(node_proto.input(0)) == layer_id.end()) {
             std::vector<Mat> inputs(1, getBlob(node_proto, 0)), outputs;
             runLayer(layerParams, inputs, outputs);
-            addConstant(layerParams.name, outputs[0]);
+            addConstant(node_proto.output(0), outputs[0]);
             return;
         }
     }
@@ -2177,7 +2209,7 @@ void ONNXImporter::parseReshape(LayerParams& layerParams, const opencv_onnx::Nod
         if (layer_id.find(node_proto.input(0)) == layer_id.end()) {
             Mat input = getBlob(node_proto, 0);
             Mat out = input.reshape(0, dim);
-            addConstant(layerParams.name, out);
+            addConstant(node_proto.output(0), out);
             return;
         }
         replaceLayerParam(layerParams, "shape", "dim");
@@ -2229,7 +2261,7 @@ void ONNXImporter::parseShape(LayerParams& layerParams, const opencv_onnx::NodeP
         CV_LOG_ERROR(NULL, "DNN/ONNX(Shape): dynamic 'zero' shapes are not supported, input " << toString(inpShape, node_proto.input(0)));
         CV_Assert(!isDynamicShape);  // not supported
     }
-    addConstant(layerParams.name, shapeMat);
+    addConstant(node_proto.output(0), shapeMat);
 }
 
 void ONNXImporter::parseCast(LayerParams& layerParams, const opencv_onnx::NodeProto& node_proto)
@@ -2253,7 +2285,7 @@ void ONNXImporter::parseCast(LayerParams& layerParams, const opencv_onnx::NodePr
         Mat dst;
         blob.convertTo(dst, type);
         dst.dims = blob.dims;
-        addConstant(layerParams.name, dst);
+        addConstant(node_proto.output(0), dst);
         return;
     }
     else
@@ -2281,7 +2313,7 @@ void ONNXImporter::parseConstantFill(LayerParams& layerParams, const opencv_onnx
     for (int i = 0; i < inpShape.size(); i++)
         CV_CheckGT(inpShape[i], 0, "");
     Mat tensor(inpShape.size(), &inpShape[0], depth, Scalar(fill_value));
-    addConstant(layerParams.name, tensor);
+    addConstant(node_proto.output(0), tensor);
 }
 
 void ONNXImporter::parseGather(LayerParams& layerParams, const opencv_onnx::NodeProto& node_proto_)
@@ -2309,7 +2341,7 @@ void ONNXImporter::parseGather(LayerParams& layerParams, const opencv_onnx::Node
         } else {
             out.dims = 1;
         }
-        addConstant(layerParams.name, out);
+        addConstant(node_proto.output(0), out);
         return;
     }
     else
@@ -2403,7 +2435,7 @@ void ONNXImporter::parseConcat(LayerParams& layerParams, const opencv_onnx::Node
         runLayer(layerParams, inputs, concatenated);
 
         CV_Assert(concatenated.size() == 1);
-        addConstant(layerParams.name, concatenated[0]);
+        addConstant(node_proto.output(0), concatenated[0]);
         return;
     }
     else