diff --git a/docs/api-reference.md b/docs/api-reference.md
index 38d0d26e..61e09e2d 100644
--- a/docs/api-reference.md
+++ b/docs/api-reference.md
@@ -16,6 +16,7 @@
     expand_dims
     isclose
     kron
+    nan_to_num
     nunique
     one_hot
     pad
diff --git a/src/array_api_extra/__init__.py b/src/array_api_extra/__init__.py
index caa0526f..bcb0b3bd 100644
--- a/src/array_api_extra/__init__.py
+++ b/src/array_api_extra/__init__.py
@@ -1,6 +1,6 @@
 """Extra array functions built on top of the array API standard."""
 
-from ._delegation import isclose, one_hot, pad
+from ._delegation import isclose, nan_to_num, one_hot, pad
 from ._lib._at import at
 from ._lib._funcs import (
     apply_where,
@@ -33,6 +33,7 @@
     "isclose",
     "kron",
     "lazy_apply",
+    "nan_to_num",
     "nunique",
     "one_hot",
     "pad",
diff --git a/src/array_api_extra/_delegation.py b/src/array_api_extra/_delegation.py
index 756841c8..2c061e36 100644
--- a/src/array_api_extra/_delegation.py
+++ b/src/array_api_extra/_delegation.py
@@ -18,7 +18,7 @@
 from ._lib._utils._helpers import asarrays
 from ._lib._utils._typing import Array, DType
 
-__all__ = ["isclose", "one_hot", "pad"]
+__all__ = ["isclose", "nan_to_num", "one_hot", "pad"]
 
 
 def isclose(
@@ -113,6 +113,85 @@ def isclose(
     return _funcs.isclose(a, b, rtol=rtol, atol=atol, equal_nan=equal_nan, xp=xp)
 
 
+def nan_to_num(
+    x: Array | float | complex,
+    /,
+    *,
+    fill_value: int | float = 0.0,
+    xp: ModuleType | None = None,
+) -> Array:
+    """
+    Replace NaN with zero and infinity with large finite numbers (default behaviour).
+
+    If `x` is inexact, NaN is replaced by zero or by the user defined value in the
+    `fill_value` keyword, infinity is replaced by the largest finite floating
+    point value representable by ``x.dtype``, and -infinity is replaced by the
+    most negative finite floating point value representable by ``x.dtype``.
+
+    For complex dtypes, the above is applied to each of the real and
+    imaginary components of `x` separately.
+
+    Parameters
+    ----------
+    x : array | float | complex
+        Input data.
+    fill_value : int | float, optional
+        Value to be used to fill NaN values. If no value is passed
+        then NaN values will be replaced with 0.0.
+    xp : array_namespace, optional
+        The standard-compatible namespace for `x`. Default: infer.
+
+    Returns
+    -------
+    array
+        `x`, with the non-finite values replaced.
+
+    See Also
+    --------
+    array_api.isnan : Shows which elements are Not a Number (NaN).
+
+    Examples
+    --------
+    >>> import array_api_extra as xpx
+    >>> import array_api_strict as xp
+    >>> xpx.nan_to_num(xp.inf)
+    1.7976931348623157e+308
+    >>> xpx.nan_to_num(-xp.inf)
+    -1.7976931348623157e+308
+    >>> xpx.nan_to_num(xp.nan)
+    0.0
+    >>> x = xp.asarray([xp.inf, -xp.inf, xp.nan, -128, 128])
+    >>> xpx.nan_to_num(x)
+    array([ 1.79769313e+308, -1.79769313e+308,  0.00000000e+000, # may vary
+           -1.28000000e+002,  1.28000000e+002])
+    >>> y = xp.asarray([complex(xp.inf, xp.nan), xp.nan, complex(xp.nan, xp.inf)])
+    array([  1.79769313e+308,  -1.79769313e+308,   0.00000000e+000, # may vary
+         -1.28000000e+002,   1.28000000e+002])
+    >>> xpx.nan_to_num(y)
+    array([  1.79769313e+308 +0.00000000e+000j, # may vary
+             0.00000000e+000 +0.00000000e+000j,
+             0.00000000e+000 +1.79769313e+308j])
+    """
+    if isinstance(fill_value, complex):
+        msg = "Complex fill values are not supported."
+        raise TypeError(msg)
+
+    xp = array_namespace(x) if xp is None else xp
+
+    # for scalars we want to output an array
+    y = xp.asarray(x)
+
+    if (
+        is_cupy_namespace(xp)
+        or is_jax_namespace(xp)
+        or is_numpy_namespace(xp)
+        or is_torch_namespace(xp)
+    ):
+        return xp.nan_to_num(y, nan=fill_value)
+
+    return _funcs.nan_to_num(y, fill_value=fill_value, xp=xp)
+
+
 def one_hot(
     x: Array,
     /,
diff --git a/src/array_api_extra/_lib/_funcs.py b/src/array_api_extra/_lib/_funcs.py
index 05db6251..cbcbe0ff 100644
--- a/src/array_api_extra/_lib/_funcs.py
+++ b/src/array_api_extra/_lib/_funcs.py
@@ -738,6 +738,47 @@ def kron(
     return xp.reshape(result, res_shape)
 
 
+def nan_to_num(  # numpydoc ignore=PR01,RT01
+    x: Array,
+    /,
+    fill_value: int | float = 0.0,
+    *,
+    xp: ModuleType,
+) -> Array:
+    """See docstring in `array_api_extra._delegation.py`."""
+
+    def perform_replacements(  # numpydoc ignore=PR01,RT01
+        x: Array,
+        fill_value: int | float,
+        xp: ModuleType,
+    ) -> Array:
+        """Internal function to perform the replacements."""
+        x = xp.where(xp.isnan(x), fill_value, x)
+
+        # convert infinities to finite values
+        finfo = xp.finfo(x.dtype)
+        idx_posinf = xp.isinf(x) & ~xp.signbit(x)
+        idx_neginf = xp.isinf(x) & xp.signbit(x)
+        x = xp.where(idx_posinf, finfo.max, x)
+        return xp.where(idx_neginf, finfo.min, x)
+
+    if xp.isdtype(x.dtype, "complex floating"):
+        return perform_replacements(
+            xp.real(x),
+            fill_value,
+            xp,
+        ) + 1j * perform_replacements(
+            xp.imag(x),
+            fill_value,
+            xp,
+        )
+
+    if xp.isdtype(x.dtype, "numeric"):
+        return perform_replacements(x, fill_value, xp)
+
+    return x
+
+
 def nunique(x: Array, /, *, xp: ModuleType | None = None) -> Array:
     """
     Count the number of unique elements in an array.
diff --git a/tests/conftest.py b/tests/conftest.py
index 76fb7650..df703b97 100644
--- a/tests/conftest.py
+++ b/tests/conftest.py
@@ -232,3 +232,11 @@ def device(
     if library == Backend.TORCH_GPU:
         return xp.device("cpu")
     return get_device(xp.empty(0))
+
+
+@pytest.fixture
+def infinity(library: Backend) -> float:
+    """Retrieve the positive infinity value for the given backend."""
+    if library in (Backend.TORCH, Backend.TORCH_GPU):
+        return 3.4028235e38
+    return 1.7976931348623157e308
diff --git a/tests/test_funcs.py b/tests/test_funcs.py
index 769b4119..8304b848 100644
--- a/tests/test_funcs.py
+++ b/tests/test_funcs.py
@@ -21,6 +21,7 @@
     expand_dims,
     isclose,
     kron,
+    nan_to_num,
     nunique,
     one_hot,
     pad,
@@ -40,6 +41,7 @@
 lazy_xp_function(create_diagonal)
 lazy_xp_function(expand_dims)
 lazy_xp_function(kron)
+lazy_xp_function(nan_to_num)
 lazy_xp_function(nunique)
 lazy_xp_function(one_hot)
 lazy_xp_function(pad)
@@ -941,6 +943,140 @@ def test_xp(self, xp: ModuleType):
         xp_assert_equal(kron(a, b, xp=xp), k)
 
 
+class TestNanToNum:
+    def test_bool(self, xp: ModuleType) -> None:
+        a = xp.asarray([True])
+        xp_assert_equal(nan_to_num(a, xp=xp), a)
+
+    def test_scalar_pos_inf(self, xp: ModuleType, infinity: float) -> None:
+        a = xp.inf
+        xp_assert_equal(nan_to_num(a, xp=xp), xp.asarray(infinity))
+
+    def test_scalar_neg_inf(self, xp: ModuleType, infinity: float) -> None:
+        a = -xp.inf
+        xp_assert_equal(nan_to_num(a, xp=xp), -xp.asarray(infinity))
+
+    def test_scalar_nan(self, xp: ModuleType) -> None:
+        a = xp.nan
+        xp_assert_equal(nan_to_num(a, xp=xp), xp.asarray(0.0))
+
+    def test_real(self, xp: ModuleType, infinity: float) -> None:
+        a = xp.asarray([xp.inf, -xp.inf, xp.nan, -128, 128])
+        xp_assert_equal(
+            nan_to_num(a, xp=xp),
+            xp.asarray(
+                [
+                    infinity,
+                    -infinity,
+                    0.0,
+                    -128,
+                    128,
+                ]
+            ),
+        )
+
+    def test_complex(self, xp: ModuleType, infinity: float) -> None:
+        a = xp.asarray(
+            [
+                complex(xp.inf, xp.nan),
+                xp.nan,
+                complex(xp.nan, xp.inf),
+            ]
+        )
+        xp_assert_equal(
+            nan_to_num(a),
+            xp.asarray([complex(infinity, 0), complex(0, 0), complex(0, infinity)]),
+        )
+
+    def test_empty_array(self, xp: ModuleType) -> None:
+        a = xp.asarray([], dtype=xp.float32)  # forced dtype due to torch
+        xp_assert_equal(nan_to_num(a, xp=xp), a)
+        assert xp.isdtype(nan_to_num(a, xp=xp).dtype, xp.float32)
+
+    @pytest.mark.parametrize(
+        ("in_vals", "fill_value", "out_vals"),
+        [
+            ([1, 2, np.nan, 4], 3, [1.0, 2.0, 3.0, 4.0]),
+            ([1, 2, np.nan, 4], 3.0, [1.0, 2.0, 3.0, 4.0]),
+            (
+                [
+                    complex(1, 1),
+                    complex(2, 2),
+                    complex(np.nan, 0),
+                    complex(4, 4),
+                ],
+                3,
+                [
+                    complex(1.0, 1.0),
+                    complex(2.0, 2.0),
+                    complex(3.0, 0.0),
+                    complex(4.0, 4.0),
+                ],
+            ),
+            (
+                [
+                    complex(1, 1),
+                    complex(2, 2),
+                    complex(0, np.nan),
+                    complex(4, 4),
+                ],
+                3.0,
+                [
+                    complex(1.0, 1.0),
+                    complex(2.0, 2.0),
+                    complex(0.0, 3.0),
+                    complex(4.0, 4.0),
+                ],
+            ),
+            (
+                [
+                    complex(1, 1),
+                    complex(2, 2),
+                    complex(np.nan, np.nan),
+                    complex(4, 4),
+                ],
+                3.0,
+                [
+                    complex(1.0, 1.0),
+                    complex(2.0, 2.0),
+                    complex(3.0, 3.0),
+                    complex(4.0, 4.0),
+                ],
+            ),
+        ],
+    )
+    def test_fill_value_success(
+        self,
+        xp: ModuleType,
+        in_vals: Array,
+        fill_value: int | float,
+        out_vals: Array,
+    ) -> None:
+        a = xp.asarray(in_vals)
+        xp_assert_equal(
+            nan_to_num(a, fill_value=fill_value, xp=xp),
+            xp.asarray(out_vals),
+        )
+
+    def test_fill_value_failure(self, xp: ModuleType) -> None:
+        a = xp.asarray(
+            [
+                complex(1, 1),
+                complex(xp.nan, xp.nan),
+                complex(3, 3),
+            ]
+        )
+        with pytest.raises(
+            TypeError,
+            match="Complex fill values are not supported",
+        ):
+            _ = nan_to_num(
+                a,
+                fill_value=complex(2, 2),  # type: ignore[arg-type] # pyright: ignore[reportArgumentType]
+                xp=xp,
+            )
+
+
 class TestNUnique:
     def test_simple(self, xp: ModuleType):
         a = xp.asarray([[1, 1], [0, 2], [2, 2]])