diff --git a/src/uproot/interpretation/identify.py b/src/uproot/interpretation/identify.py
index 26daafbd9..d6724e967 100644
--- a/src/uproot/interpretation/identify.py
+++ b/src/uproot/interpretation/identify.py
@@ -577,6 +577,8 @@ def _parse_node(tokens, i, typename, file, quote, header, inner_header):
     if tokens[i].group(0) == ",":
         _parse_error(tokens[i].start() + 1, typename, file)
 
+    elif tokens[i].group(0) == "const":
+        return _parse_node(tokens, i + 1, typename, file, quote, header, inner_header)
     elif tokens[i].group(0) == "Bool_t":
         return i + 1, _parse_maybe_quote('numpy.dtype("?")', quote)
     elif tokens[i].group(0) == "bool":
diff --git a/tests/test_1229_const_in_typename.py b/tests/test_1229_const_in_typename.py
new file mode 100644
index 000000000..ac1085c7c
--- /dev/null
+++ b/tests/test_1229_const_in_typename.py
@@ -0,0 +1,13 @@
+# BSD 3-Clause License; see https://github.com/scikit-hep/uproot5/blob/main/LICENSE
+
+import pytest
+import skhep_testdata
+
+from uproot.containers import AsPointer
+from uproot.interpretation.identify import parse_typename
+from uproot.models.TH import Model_TH1I
+
+
+def test_const_in_typename():
+    assert parse_typename("TH1I*") == AsPointer(Model_TH1I)
+    assert parse_typename("const TH1I*") == AsPointer(Model_TH1I)