diff --git a/CHANGELOG.md b/CHANGELOG.md
index 0436d9639..d0215c312 100644
--- a/CHANGELOG.md
+++ b/CHANGELOG.md
@@ -55,6 +55,7 @@ PLEASE REMEMBER TO CHANGE THE '..main' WITH AN ACTUAL TAG in GITHUB LINK.
     silently truncated to `1`.
   * {func}`jax.experimental.compilation_cache.initialize_cache` now supports gcs
     bucket path as input.
+  * Added {func}`jax.scipy.stats.gennorm`.
 
 ## jaxlib 0.3.11 (Unreleased)
 * [GitHub commits](https://github.com/google/jax/compare/jaxlib-v0.3.10...main).
diff --git a/docs/jax.scipy.rst b/docs/jax.scipy.rst
index efdfa85af..d099c02fc 100644
--- a/docs/jax.scipy.rst
+++ b/docs/jax.scipy.rst
@@ -220,6 +220,16 @@ jax.scipy.stats.gamma
    logpdf
    pdf
 
+jax.scipy.stats.gennorm
+~~~~~~~~~~~~~~~~~~~~~~~
+.. automodule:: jax.scipy.stats.gennorm
+.. autosummary::
+  :toctree: _autosummary
+
+   cdf
+   logpdf
+   pdf
+
 jax.scipy.stats.geom
 ~~~~~~~~~~~~~~~~~~~~
 .. automodule:: jax.scipy.stats.geom
diff --git a/jax/_src/scipy/stats/gennorm.py b/jax/_src/scipy/stats/gennorm.py
new file mode 100644
index 000000000..d4b55b050
--- /dev/null
+++ b/jax/_src/scipy/stats/gennorm.py
@@ -0,0 +1,32 @@
+# Copyright 2022 Google LLC
+#
+# Licensed under the Apache License, Version 2.0 (the "License");
+# you may not use this file except in compliance with the License.
+# You may obtain a copy of the License at
+#
+#     https://www.apache.org/licenses/LICENSE-2.0
+#
+# Unless required by applicable law or agreed to in writing, software
+# distributed under the License is distributed on an "AS IS" BASIS,
+# WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+# See the License for the specific language governing permissions and
+# limitations under the License.
+
+import scipy.stats as osp_stats
+from jax import lax
+from jax._src.numpy.util import _wraps
+from jax._src.numpy.lax_numpy import _promote_args_inexact
+
+@_wraps(osp_stats.gennorm.logpdf, update_doc=False)
+def logpdf(x, p):
+  x, p = _promote_args_inexact("gennorm.logpdf", x, p)
+  return lax.log(.5 * p) - lax.lgamma(1/p) - lax.abs(x)**p
+
+@_wraps(osp_stats.gennorm.cdf, update_doc=False)
+def cdf(x, p):
+  x, p = _promote_args_inexact("gennorm.cdf", x, p)
+  return .5 * (1 + lax.sign(x) * lax.igamma(1/p, lax.abs(x)**p))
+
+@_wraps(osp_stats.gennorm.pdf, update_doc=False)
+def pdf(x, p):
+  return lax.exp(logpdf(x, p))
diff --git a/jax/scipy/stats/__init__.py b/jax/scipy/stats/__init__.py
index bf36cf77f..9876d2edc 100644
--- a/jax/scipy/stats/__init__.py
+++ b/jax/scipy/stats/__init__.py
@@ -30,3 +30,4 @@ from jax.scipy.stats import t as t
 from jax.scipy.stats import uniform as uniform
 from jax.scipy.stats import chi2 as chi2
 from jax.scipy.stats import betabinom as betabinom
+from jax.scipy.stats import gennorm as gennorm
diff --git a/jax/scipy/stats/gennorm.py b/jax/scipy/stats/gennorm.py
new file mode 100644
index 000000000..2d069773d
--- /dev/null
+++ b/jax/scipy/stats/gennorm.py
@@ -0,0 +1,19 @@
+# Copyright 2022 Google LLC
+#
+# Licensed under the Apache License, Version 2.0 (the "License");
+# you may not use this file except in compliance with the License.
+# You may obtain a copy of the License at
+#
+#     https://www.apache.org/licenses/LICENSE-2.0
+#
+# Unless required by applicable law or agreed to in writing, software
+# distributed under the License is distributed on an "AS IS" BASIS,
+# WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+# See the License for the specific language governing permissions and
+# limitations under the License.
+
+from jax._src.scipy.stats.gennorm import (
+  cdf as cdf,
+  logpdf as logpdf,
+  pdf as pdf,
+)
diff --git a/tests/scipy_stats_test.py b/tests/scipy_stats_test.py
index f691c1db8..fb609ce13 100644
--- a/tests/scipy_stats_test.py
+++ b/tests/scipy_stats_test.py
@@ -245,6 +245,34 @@ class LaxBackedScipyStatsTests(jtu.JaxTestCase):
     self.assertAllClose(
       osp_stats.gamma.pdf(0.0, 1.0), lsp_stats.gamma.pdf(0.0, 1.0), atol=1E-6)
 
+  @genNamedParametersNArgs(2)
+  def testGenNormLogPdf(self, shapes, dtypes):
+    rng = jtu.rand_default(self.rng())
+    scipy_fun = osp_stats.gennorm.logpdf
+    lax_fun = lsp_stats.gennorm.logpdf
+
+    def args_maker():
+      x, p = map(rng, shapes, dtypes)
+      return [x, p]
+
+    self._CheckAgainstNumpy(scipy_fun, lax_fun, args_maker, check_dtypes=False,
+                            tol=1e-4, rtol=1e-3)
+    self._CompileAndCheck(lax_fun, args_maker)
+
+  @genNamedParametersNArgs(2)
+  def testGenNormCdf(self, shapes, dtypes):
+    rng = jtu.rand_default(self.rng())
+    scipy_fun = osp_stats.gennorm.cdf
+    lax_fun = lsp_stats.gennorm.cdf
+
+    def args_maker():
+      x, p = map(rng, shapes, dtypes)
+      return [x, p]
+
+    self._CheckAgainstNumpy(scipy_fun, lax_fun, args_maker, check_dtypes=False,
+                            tol=1e-4, rtol=1e-3)
+    self._CompileAndCheck(lax_fun, args_maker)
+
   @genNamedParametersNArgs(4)
   def testNBinomLogPmf(self, shapes, dtypes):
     rng = jtu.rand_positive(self.rng())