diff --git a/src/jaxsim/api/model.py b/src/jaxsim/api/model.py
index a3a154268..0b255dbd3 100644
--- a/src/jaxsim/api/model.py
+++ b/src/jaxsim/api/model.py
@@ -338,6 +338,7 @@ def reduce(
     reduced_model = JaxSimModel.build(
         model_description=reduced_intermediate_description,
         model_name=model.name(),
+        terrain=model.terrain,
     )
 
     # Store the origin of the model, in case downstream logic needs it
diff --git a/tests/test_api_model.py b/tests/test_api_model.py
index 88ea31d41..f903a9f64 100644
--- a/tests/test_api_model.py
+++ b/tests/test_api_model.py
@@ -93,6 +93,9 @@ def test_model_creation_and_reduction(
     # Check that all non-fixed joints are in the reduced model.
     assert set(reduced_joints) == set(model_reduced.joint_names())
 
+    # Check that the reduce model maintain the same terrain of the full model.
+    assert model_full.terrain == model_reduced.terrain
+
     # Build the data of the reduced model.
     data_reduced = js.data.JaxSimModelData.build(
         model=model_reduced,