diff --git a/src/cmap/_colormap.py b/src/cmap/_colormap.py
index 748742ddc..433072c2f 100644
--- a/src/cmap/_colormap.py
+++ b/src/cmap/_colormap.py
@@ -109,6 +109,12 @@ class Colormap:
           the matplotlib docs for more.
         - a `Callable` that takes an array of N values in the range [0, 1] and returns
           an (N, 4) array of RGBA values in the range [0, 1].
+    cmap_kwargs : dict[str, Any] | None
+        Keyword arguments to pass to the colormap function when `value` is a
+        registered colormap name that maps to a callable function. For example:
+        `Colormap("cubehelix", cmap_kwargs={"start": 1.0, "rotation": -1.0})`.
+        If provided when `value` does not resolve to a callable colormap function, a
+        `TypeError` will be raised.
     name : str | None
         A name for the colormap. If None, will be set to the identifier or the string
         `"custom colormap"`.
@@ -129,6 +135,14 @@ class Colormap:
         The color to use for values above the colormap's range.
     bad : ColorLike | None
         The color to use for bad (NaN, inf) values.
+
+    Raises
+    ------
+    TypeError
+        If `cmap_kwargs` is provided and `value` does not resolve to a callable
+        colormap function.
+    ValueError
+        If `value` is a string colormap name that is not found in the catalog.
     """
 
     __slots__ = (
@@ -226,6 +240,7 @@ def __init__(
         under: ColorLike | None = None,
         over: ColorLike | None = None,
         bad: ColorLike | None = None,
+        cmap_kwargs: dict[str, Any] | None = None,
     ) -> None:
         self.info: CatalogItem | None = None
 
@@ -238,6 +253,14 @@ def __init__(
             under = info.under if under is None else under
             bad = info.bad if bad is None else bad
             self.info = info
+
+            # Check if cmap_kwargs is provided for a non-callable colormap
+            if cmap_kwargs and not callable(info.data):
+                raise TypeError(
+                    f"Cannot apply cmap_kwargs to colormap {info.name!r}: "
+                    "colormap is not a parametrized callable"
+                )
+
             if isinstance(info.data, list):
                 if not info.data:  # pragma: no cover
                     raise ValueError(f"Catalog colormap {info.name!r} has no data")
@@ -252,7 +275,12 @@ def __init__(
                         f"Invalid catalog colormap data for {info.name!r}: {info.data}"
                     )
             else:
-                stops = _parse_colorstops(info.data)
+                _data: ColormapLike
+                if cmap_kwargs:
+                    _data = partial(cast("Callable", info.data), **cmap_kwargs)
+                else:
+                    _data = info.data
+                stops = _parse_colorstops(_data)
             if interpolation is None:
                 interpolation = info.interpolation
             if rev:
diff --git a/tests/test_colormap.py b/tests/test_colormap.py
index 3a9484d71..d1550136b 100644
--- a/tests/test_colormap.py
+++ b/tests/test_colormap.py
@@ -236,3 +236,18 @@ def test_shifted() -> None:
     assert cm.shifted(0.5).shifted(-0.5) == cm
     # two shifts of 0.5 should give the original array
     assert cm.shifted().shifted() == cm
+
+
+def test_function_colormap_with_cmap_kwargs() -> None:
+    # construct cubehelix with custom parameters
+    ch = Colormap("cubehelix", cmap_kwargs={"start": 1.0, "rotation": -1.0})
+
+    # values should be different from default cubehelix
+    default_ch = Colormap("cubehelix")
+    assert ch(0.5) != default_ch(0.5)
+
+
+def test_invalid_function_colormap_with_cmap_kwargs() -> None:
+    # providing cmap_kwargs to a non-callable colormap should raise TypeError
+    with pytest.raises(TypeError, match=r"Cannot apply cmap_kwargs to colormap"):
+        Colormap("viridis", cmap_kwargs={"param": 1.0})