diff --git a/folium/elements.py b/folium/elements.py
index 753a55ad06..9faa2623d7 100644
--- a/folium/elements.py
+++ b/folium/elements.py
@@ -149,6 +149,18 @@ def __init__(self, element_name: str, element_parent_name: str):
         self.element_name = element_name
         self.element_parent_name = element_parent_name
 
+    def render(self, **kwargs):
+        figure = self.get_root()
+        assert isinstance(
+            figure, Figure
+        ), "You cannot render this Element if it is not in a Figure."
+        script = self._template.module.__dict__.get("script", None)
+        if script is not None:
+            figure.script.add_child(
+                Element(script(self, kwargs)),
+                name=f"{self.element_name}_add_to_{self.element_parent_name}",
+            )
+
 
 class IncludeStatement(MacroElement):
     """Generate an include statement on a class."""
diff --git a/folium/map.py b/folium/map.py
index ce2e561a5b..8b99e1bbfa 100644
--- a/folium/map.py
+++ b/folium/map.py
@@ -517,6 +517,18 @@ def __init__(
             self.marker = marker
             self.icon = icon
 
+        def render(self, **kwargs):
+            figure = self.get_root()
+            assert isinstance(
+                figure, Figure
+            ), "You cannot render this Element if it is not in a Figure."
+            script = self._template.module.__dict__.get("script", None)
+            if script is not None:
+                figure.script.add_child(
+                    Element(script(self, kwargs)),
+                    name=f"{self.marker.get_name()}_set_icon",
+                )
+
     def __init__(
         self,
         location: Optional[Sequence[float]] = None,
diff --git a/tests/test_map.py b/tests/test_map.py
index cf6635a0b9..581e603ff7 100644
--- a/tests/test_map.py
+++ b/tests/test_map.py
@@ -290,3 +290,27 @@ def test_icon_invalid_marker_colors():
     pytest.warns(UserWarning, Icon, color="lila")
     pytest.warns(UserWarning, Icon, color=42)
     pytest.warns(UserWarning, Icon, color=None)
+
+
+def test_repeated_save_produces_identical_html(tmp_path):
+    """Regression test for https://github.com/python-visualization/folium/issues/2237"""
+    m = Map(location=[40.75, -73.98], zoom_start=13)
+    locations = [
+        [40.7829, -73.9654],
+        [40.7484, -73.9857],
+        [40.7580, -73.9855],
+    ]
+    for lat, lon in locations:
+        Marker([lat, lon], icon=Icon(color="blue", icon="info-sign")).add_to(m)
+
+    path1 = tmp_path / "1.html"
+    path2 = tmp_path / "2.html"
+    path3 = tmp_path / "3.html"
+    m.save(path1)
+    m.save(path2)
+    m.save(path3)
+
+    html1 = path1.read_text()
+    html2 = path2.read_text()
+    html3 = path3.read_text()
+    assert html1 == html2 == html3