diff --git a/src/storage/model.cpp b/src/storage/model.cpp
index bfdb8c74e..f2fbb8430 100644
--- a/src/storage/model.cpp
+++ b/src/storage/model.cpp
@@ -283,7 +283,7 @@ void define_sparse_model(py::module& m, std::string const& vtSuffix) {
         .def("convert_to_ctmc", &SparseMarkovAutomaton<ValueType>::convertToCtmc, "Convert the MA into a CTMC.")
     ;
 
-    py::class_<SparseSmg<ValueType>, std::shared_ptr<SparseSmg<ValueType>>>(m, ("Sparse" + vtSuffix + "SMG").c_str(), "SMG in sparse representation", nondetModel)
+    py::class_<SparseSmg<ValueType>, std::shared_ptr<SparseSmg<ValueType>>>(m, ("Sparse" + vtSuffix + "Smg").c_str(), "SMG in sparse representation", nondetModel)
         .def(py::init<SparseSmg<ValueType>>(), py::arg("other_model"))
         .def(py::init<ModelComponents<ValueType> const&>(), py::arg("components"))
         .def("get_state_player_indications", &SparseSmg<ValueType>::getStatePlayerIndications, "Get for each state its corresponding player")
diff --git a/tests/storage/test_model_components.py b/tests/storage/test_model_components.py
index 2546f3cf1..d8d537a09 100644
--- a/tests/storage/test_model_components.py
+++ b/tests/storage/test_model_components.py
@@ -875,3 +875,97 @@ def create_number(num):
 
         # Test choice labeling
         assert not dtmc.has_choice_labeling()
+
+
+    def test_build_smg(self):
+        nr_states = 7
+        nr_choices = 10
+
+        # Build transition matrix
+        builder = stormpy.SparseMatrixBuilder(rows=0, columns=0, entries=0, force_dimensions=False,
+                                              has_custom_row_grouping=True, row_groups=0)
+
+        # Row group, state 0
+        builder.new_row_group(0)
+        builder.add_next_value(0, 0, 0.5)
+        builder.add_next_value(0, 1, 0.5)
+        builder.add_next_value(1, 1, 0.2)
+        builder.add_next_value(1, 2, 0.8)
+        # Row group, state 1
+        builder.new_row_group(2)
+        builder.add_next_value(2, 2, 1)
+        builder.add_next_value(3, 3, 0.5)
+        builder.add_next_value(3, 6, 0.5)
+        # Row group, state 2
+        builder.new_row_group(4)
+        builder.add_next_value(4, 3, 0.5)
+        builder.add_next_value(4, 4, 0.5)
+        builder.add_next_value(5, 0, 1)
+        # Row group, state 3
+        builder.new_row_group(6)
+        builder.add_next_value(6, 5, 1)
+        # Row group, state 4
+        builder.new_row_group(7)
+        builder.add_next_value(7, 5, 1)
+        # Row group, state 5, goal state
+        builder.new_row_group(8)
+        builder.add_next_value(8, 5, 1)
+        # Row group, state 6, deadlock state
+        builder.new_row_group(9)
+        builder.add_next_value(9, 6, 1)
+
+        transition_matrix = builder.build(nr_choices, nr_states)
+
+        # State labeling
+        state_labeling = stormpy.storage.StateLabeling(nr_states)
+        labels = {'init_p1', 'bad', 'done'}
+        for label in labels:
+            state_labeling.add_label(label)
+        state_labeling.add_label_to_state('init_p1', 0)
+        state_labeling.add_label_to_state('done', 5)
+        state_labeling.add_label_to_state('bad', 6)
+
+        # Choice labeling
+        choice_labeling = stormpy.storage.ChoiceLabeling(nr_choices)
+        choice_labels = {'a', 'b', 'c', 'd'}
+        for label in choice_labels:
+            choice_labeling.add_label(label)
+        choice_labeling.add_label_to_choice('a', 0)
+        choice_labeling.add_label_to_choice('b', 1)
+        choice_labeling.add_label_to_choice('c', 2)
+        choice_labeling.add_label_to_choice('d', 3)
+        choice_labeling.add_label_to_choice('a', 4)
+        choice_labeling.add_label_to_choice('b', 5)
+
+        # State player indications
+        state_player_indications = [0, 1, 2, 0, 2, 1, 0]
+
+        components = stormpy.SparseModelComponents(transition_matrix=transition_matrix, state_labeling=state_labeling)
+        components.choice_labeling = choice_labeling
+        components.state_player_indications = state_player_indications
+
+        # Build SMG
+        smg = stormpy.storage.SparseSmg(components)
+
+        assert type(smg) is stormpy.SparseSmg
+        assert smg.model_type == stormpy.storage.ModelType.SMG
+
+        # Test transition matrix
+        assert smg.nr_choices == nr_choices
+        assert smg.nr_states == nr_states
+        assert smg.nr_transitions == 14
+        assert smg.transition_matrix.nr_entries == smg.nr_transitions
+        for state in smg.states:
+            assert len(state.actions) <= 2
+
+        # Test state labeling
+        assert smg.labeling.get_labels() == {'init_p1', 'bad', 'done'}
+
+        # Test choice labeling
+        assert smg.has_choice_labeling()
+        assert smg.choice_labeling.get_labels() == {'a', 'b', 'c', 'd'}
+
+        # Test state player indications
+        assert smg.get_state_player_indications() == [0, 1, 2, 0, 2, 1, 0]
+        for state in range(smg.nr_states):
+            assert smg.get_player_of_state(state) == state_player_indications[state]