diff --git a/holoviews/plotting/bokeh/element.py b/holoviews/plotting/bokeh/element.py
index 89e31d2d92..ea243584c4 100644
--- a/holoviews/plotting/bokeh/element.py
+++ b/holoviews/plotting/bokeh/element.py
@@ -21,6 +21,7 @@
     GlyphRenderer,
     Legend,
     Renderer,
+    Span,
     Title,
     tools,
 )
@@ -577,10 +578,11 @@ def _init_tools(self, element, callbacks=None):
             tool_list.append(tool)
 
         copied_tools = []
+        skip_models = (Span,)
         for tool in tool_list:
             if isinstance(tool, tools.Tool):
                 properties = {
-                    p: v.clone() if isinstance(v, Model) else v
+                    p: v.clone() if isinstance(v, Model) and not isinstance(v, skip_models) else v
                     for p, v in tool.properties_with_values(include_defaults=False).items()
                 }
                 tool = type(tool)(**properties)
diff --git a/holoviews/tests/plotting/bokeh/test_plot.py b/holoviews/tests/plotting/bokeh/test_plot.py
index b5c1a5978c..5c7a08a2e1 100644
--- a/holoviews/tests/plotting/bokeh/test_plot.py
+++ b/holoviews/tests/plotting/bokeh/test_plot.py
@@ -2,10 +2,12 @@
 import pyviz_comms as comms
 from bokeh.models import (
     ColumnDataSource,
+    CrosshairTool,
     CustomJS,
     HoverTool,
     LinearColorMapper,
     LogColorMapper,
+    Span,
 )
 from param import concrete_descendents
 
@@ -124,3 +126,17 @@ def test_sync_three_plots():
                 assert v[0].code == "dst.muted = src.muted"
                 assert isinstance(v[1], CustomJS)
                 assert v[1].code == "dst.muted = src.muted"
+
+
+def test_span_not_cloned_crosshair():
+    # See https://github.com/holoviz/holoviews/issues/6386
+    height = Span(dimension="height")
+    cht = CrosshairTool(overlay=height)
+
+    layout = Curve([]).opts(tools=[cht]) + Curve([]).opts(tools=[cht])
+
+    (fig1, *_), (fig2, *_) = bokeh_renderer.get_plot(layout).handles["plot"].children
+    tool1 = next(t for t in fig1.tools if isinstance(t, CrosshairTool))
+    tool2 = next(t for t in fig2.tools if isinstance(t, CrosshairTool))
+
+    assert tool1.overlay is tool2.overlay