diff --git a/CHANGELOG.md b/CHANGELOG.md
index a850b8c43..71303d206 100644
--- a/CHANGELOG.md
+++ b/CHANGELOG.md
@@ -44,6 +44,7 @@ Remember to align the itemized text with the first line of an item within a list
     `from jax.experimental.export import export` you should use now
     `from jax.experimental import export`. The old way of importing will
     continue to work for a deprecation period of 3 months.
+  * Added {func}`jax.scipy.stats.sem`.
 
 * Deprecations & Removals
   * A number of previously deprecated functions have been removed, following a
diff --git a/docs/jax.scipy.rst b/docs/jax.scipy.rst
index aa723ec43..6d10f5071 100644
--- a/docs/jax.scipy.rst
+++ b/docs/jax.scipy.rst
@@ -180,6 +180,7 @@ jax.scipy.stats
 
    mode
    rankdata
+   sem
 
 jax.scipy.stats.bernoulli
 ~~~~~~~~~~~~~~~~~~~~~~~~~
diff --git a/jax/_src/scipy/stats/_core.py b/jax/_src/scipy/stats/_core.py
index 541f409dc..a3b285094 100644
--- a/jax/_src/scipy/stats/_core.py
+++ b/jax/_src/scipy/stats/_core.py
@@ -23,7 +23,7 @@ import jax.numpy as jnp
 from jax import jit
 from jax._src import dtypes
 from jax._src.api import vmap
-from jax._src.numpy.util import check_arraylike, _wraps
+from jax._src.numpy.util import check_arraylike, _wraps, promote_args_inexact
 from jax._src.typing import ArrayLike, Array
 from jax._src.util import canonicalize_axis
 
@@ -147,3 +147,20 @@ def rankdata(
   if method == "average":
     return .5 * (count[dense] + count[dense - 1] + 1).astype(dtypes.canonicalize_dtype(jnp.float_))
   raise ValueError(f"unknown method '{method}'")
+
+@_wraps(scipy.stats.sem, lax_description="""\
+Currently the only supported nan_policies are 'propagate' and 'omit'
+""")
+@partial(jit, static_argnames=['axis', 'nan_policy', 'keepdims'])
+def sem(a: ArrayLike, axis: int | None = 0, ddof: int = 1, nan_policy: str = "propagate", *, keepdims: bool = False) -> Array:
+  b, = promote_args_inexact("sem", a)
+  if axis is None:
+    b = b.ravel()
+    axis = 0
+  if nan_policy == "propagate":
+    return b.std(axis, ddof=ddof) / jnp.sqrt(b.shape[axis]).astype(b.dtype)
+  elif nan_policy == "omit":
+    count = (~jnp.isnan(b)).sum(axis)
+    return jnp.nanstd(b, axis, ddof=ddof) / jnp.sqrt(count).astype(b.dtype)
+  else:
+    raise ValueError(f"{nan_policy} is not supported")
diff --git a/jax/scipy/stats/__init__.py b/jax/scipy/stats/__init__.py
index 9458f3b7e..7aa73f7b5 100644
--- a/jax/scipy/stats/__init__.py
+++ b/jax/scipy/stats/__init__.py
@@ -38,6 +38,6 @@ from jax.scipy.stats import betabinom as betabinom
 from jax.scipy.stats import gennorm as gennorm
 from jax.scipy.stats import truncnorm as truncnorm
 from jax._src.scipy.stats.kde import gaussian_kde as gaussian_kde
-from jax._src.scipy.stats._core import mode as mode, rankdata as rankdata
+from jax._src.scipy.stats._core import mode as mode, rankdata as rankdata, sem as sem
 from jax.scipy.stats import vonmises as vonmises
 from jax.scipy.stats import wrapcauchy as wrapcauchy
diff --git a/tests/scipy_stats_test.py b/tests/scipy_stats_test.py
index 9d7df674f..a8e51627d 100644
--- a/tests/scipy_stats_test.py
+++ b/tests/scipy_stats_test.py
@@ -1585,5 +1585,27 @@ class LaxBackedScipyStatsTests(jtu.JaxTestCase):
                             tol=tol)
     self._CompileAndCheck(lax_fun, args_maker, rtol=tol)
 
+  @jtu.sample_product(
+    [dict(shape=shape, axis=axis, ddof=ddof, nan_policy=nan_policy)
+      for shape in [(5,), (5, 6), (5, 6, 7)]
+      for axis in [None, *range(len(shape))]
+      for ddof in [0, 1, 2, 3]
+      for nan_policy in ["propagate", "omit"]
+    ],
+    dtype=jtu.dtypes.integer + jtu.dtypes.floating,
+  )
+  def testSEM(self, shape, dtype, axis, ddof, nan_policy):
+
+    rng = jtu.rand_default(self.rng())
+    args_maker = lambda: [rng(shape, dtype)]
+
+    scipy_fun = partial(osp_stats.sem, axis=axis, ddof=ddof, nan_policy=nan_policy)
+    lax_fun = partial(lsp_stats.sem, axis=axis, ddof=ddof, nan_policy=nan_policy)
+    tol_spec = {np.float32: 2e-4, np.float64: 5e-6}
+    tol = jtu.tolerance(dtype, tol_spec)
+    self._CheckAgainstNumpy(scipy_fun, lax_fun, args_maker, check_dtypes=False,
+                            atol=tol)
+    self._CompileAndCheck(lax_fun, args_maker, atol=tol)
+
 if __name__ == "__main__":
   absltest.main(testLoader=jtu.JaxTestLoader())