diff --git a/doc/users/next_whats_new/pep8-transattrs.rst b/doc/users/next_whats_new/pep8-transattrs.rst
new file mode 100644
index 000000000000..c75dca0f5ab0
--- /dev/null
+++ b/doc/users/next_whats_new/pep8-transattrs.rst
@@ -0,0 +1,6 @@
+PEP8-compliant ``axes_transform``, etc. aliases to ``transAxes``, etc.
+----------------------------------------------------------------------
+
+The ``Axes.transAxes``, ``transScale``, ``transLimits``, and ``transData``
+attributes can now also be accessed under the names ``axes_transform``,
+``scale_transform``, ``limits_transform``, and ``data_transform``.
diff --git a/lib/matplotlib/axes/_base.py b/lib/matplotlib/axes/_base.py
index 2bedc1e724e7..2ee4581cd3fb 100644
--- a/lib/matplotlib/axes/_base.py
+++ b/lib/matplotlib/axes/_base.py
@@ -659,6 +659,38 @@ def _set_lim_and_transforms(self):
         self._yaxis_transform = mtransforms.blended_transform_factory(
             self.transAxes, self.transData)
 
+    @property
+    def axes_transform(self):
+        return self.transAxes
+
+    @axes_transform.setter
+    def axes_transform(self, value):
+        self.transAxes = value
+
+    @property
+    def scale_transform(self):
+        return self.transScale
+
+    @scale_transform.setter
+    def scale_transform(self, value):
+        self.transScale = value
+
+    @property
+    def limits_transform(self):
+        return self.transLimits
+
+    @limits_transform.setter
+    def limits_transform(self, value):
+        self.transLimits = value
+
+    @property
+    def data_transform(self):
+        return self.transData
+
+    @data_transform.setter
+    def data_transform(self, value):
+        self.transData = value
+
     def get_xaxis_transform(self, which='grid'):
         """
         Get the transformation used for drawing x-axis labels, ticks