diff --git a/lib/matplotlib/axis.py b/lib/matplotlib/axis.py
index cfc30d5e99ce..880e01eb9297 100644
--- a/lib/matplotlib/axis.py
+++ b/lib/matplotlib/axis.py
@@ -1834,12 +1834,30 @@ def set_ticks(self, ticks, minor=False):
         """
         # XXX if the user changes units, the information will be lost here
         ticks = self.convert_units(ticks)
-        if len(ticks) > 1:
-            xleft, xright = self.get_view_interval()
-            if xright > xleft:
-                self.set_view_interval(min(ticks), max(ticks))
-            else:
-                self.set_view_interval(max(ticks), min(ticks))
+        if self is self.axes.xaxis:
+            shared = [
+                ax.xaxis
+                for ax in self.axes.get_shared_x_axes().get_siblings(self.axes)
+            ]
+        elif self is self.axes.yaxis:
+            shared = [
+                ax.yaxis
+                for ax in self.axes.get_shared_y_axes().get_siblings(self.axes)
+            ]
+        elif hasattr(self.axes, "zaxis") and self is self.axes.zaxis:
+            shared = [
+                ax.zaxis
+                for ax in self.axes._shared_z_axes.get_siblings(self.axes)
+            ]
+        else:
+            shared = [self]
+        for axis in shared:
+            if len(ticks) > 1:
+                xleft, xright = axis.get_view_interval()
+                if xright > xleft:
+                    axis.set_view_interval(min(ticks), max(ticks))
+                else:
+                    axis.set_view_interval(max(ticks), min(ticks))
         self.axes.stale = True
         if minor:
             self.set_minor_locator(mticker.FixedLocator(ticks))
diff --git a/lib/matplotlib/tests/test_axes.py b/lib/matplotlib/tests/test_axes.py
index 336543329355..f9c230758833 100644
--- a/lib/matplotlib/tests/test_axes.py
+++ b/lib/matplotlib/tests/test_axes.py
@@ -6779,6 +6779,21 @@ def test_2dcolor_plot(fig_test, fig_ref):
     axs[4].bar(np.arange(10), np.arange(10), color=color.reshape((1, -1)))
 
 
+def test_shared_axes_retick():
+    fig, axs = plt.subplots(2, 2, sharex='all', sharey='all')
+
+    for ax in axs.flat:
+        ax.plot([0, 2], 'o-')
+
+    axs[0, 0].set_xticks([-0.5, 0, 1, 1.5])  # should affect all axes xlims
+    for ax in axs.flat:
+        assert ax.get_xlim() == axs[0, 0].get_xlim()
+
+    axs[0, 0].set_yticks([-0.5, 0, 2, 2.5])  # should affect all axes ylims
+    for ax in axs.flat:
+        assert ax.get_ylim() == axs[0, 0].get_ylim()
+
+
 @pytest.mark.parametrize('ha', ['left', 'center', 'right'])
 def test_ylabel_ha_with_position(ha):
     fig = Figure()
diff --git a/lib/mpl_toolkits/tests/test_mplot3d.py b/lib/mpl_toolkits/tests/test_mplot3d.py
index d1f690b678f0..3c240c1e0127 100644
--- a/lib/mpl_toolkits/tests/test_mplot3d.py
+++ b/lib/mpl_toolkits/tests/test_mplot3d.py
@@ -1254,6 +1254,18 @@ def test_colorbar_pos():
     assert cbar.ax.get_position().extents[1] < 0.2
 
 
+def test_shared_axes_retick():
+    fig = plt.figure()
+    ax1 = fig.add_subplot(211, projection="3d")
+    ax2 = fig.add_subplot(212, projection="3d", sharez=ax1)
+    ax1.plot([0, 1], [0, 1], [0, 2])
+    ax2.plot([0, 1], [0, 1], [0, 2])
+    ax1.set_zticks([-0.5, 0, 2, 2.5])
+    # check that setting ticks on a shared axis is synchronized
+    assert ax1.get_zlim() == (-0.5, 2.5)
+    assert ax2.get_zlim() == (-0.5, 2.5)
+
+
 def test_pan():
     """Test mouse panning using the middle mouse button."""