diff --git a/manimlib/mobject/three_dimensions.py b/manimlib/mobject/three_dimensions.py
index 65f3a610..2415934f 100644
--- a/manimlib/mobject/three_dimensions.py
+++ b/manimlib/mobject/three_dimensions.py
@@ -38,6 +38,7 @@ class SurfaceMesh(VGroup):
         normal_nudge: float = 1e-2,
         depth_test: bool = True,
         joint_type: str = 'no_joint',
+        flat_stroke: bool = False,
         **kwargs
     ):
         self.uv_surface = uv_surface
@@ -51,6 +52,7 @@ class SurfaceMesh(VGroup):
             joint_type=joint_type,
             **kwargs
         )
+        self.set_flat_stroke(flat_stroke)
 
     def init_points(self) -> None:
         uv_surface = self.uv_surface