diff --git a/lib/mpl_toolkits/axisartist/axis_artist.py b/lib/mpl_toolkits/axisartist/axis_artist.py
index 407ad07a3dc2..69ed9342e3fc 100644
--- a/lib/mpl_toolkits/axisartist/axis_artist.py
+++ b/lib/mpl_toolkits/axisartist/axis_artist.py
@@ -677,6 +677,10 @@ def __init__(self, axes,
         ----------
         axes : `mpl_toolkits.axisartist.axislines.Axes`
         helper : `~mpl_toolkits.axisartist.axislines.AxisArtistHelper`
+        offset : optional
+        axis_direction : ["left", "right", "top", "bottom"], default: "bottom"
+        **kwargs
+            Additional keywords are passed to `.Artist`.
         """
         # axes is also used to follow the axis attribute (tick color, etc).
 
diff --git a/lib/mpl_toolkits/axisartist/axislines.py b/lib/mpl_toolkits/axisartist/axislines.py
index ced2703d1ed6..c9c94195b550 100644
--- a/lib/mpl_toolkits/axisartist/axislines.py
+++ b/lib/mpl_toolkits/axisartist/axislines.py
@@ -142,8 +142,6 @@ def get_axislabel_transform(self, axes):
     def get_axislabel_pos_angle(self, axes):
         """
         Return the label reference position in transAxes.
-
-        get_label_transform() returns a transform of (transAxes+offset)
         """
         return dict(left=((0., 0.5), 90),  # (position, angle_tangent)
                     right=((1., 0.5), 90),
@@ -174,8 +172,11 @@ class FixedAxisArtistHelperRectilinear(_FixedAxisArtistHelperBase):
     @_api.delete_parameter("3.9", "nth_coord")
     def __init__(self, axes, loc, nth_coord=None):
         """
-        nth_coord = along which coordinate value varies
-        in 2D, nth_coord = 0 ->  x axis, nth_coord = 1 -> y axis
+
+        Parameters
+        ----------
+        axes : `mpl_toolkits.axisartist.axislines.Axes`
+        loc : ["left", "right", "top", "bottom"]
         """
         super().__init__(loc)
         self.axis = [axes.xaxis, axes.yaxis][self.nth_coord]
@@ -211,6 +212,16 @@ class FloatingAxisArtistHelperRectilinear(_FloatingAxisArtistHelperBase):
 
     def __init__(self, axes, nth_coord,
                  passingthrough_point, axis_direction="bottom"):
+        """
+
+        Parameters
+        ----------
+        axes : `mpl_toolkits.axisartist.axislines.Axes`
+        nth_coord : {0, 1}, optional
+            Along which coordinate the value varies in 2D. 0: x-axis, 1: y-axis.
+        passingthrough_point :
+        axis_direction : ["left", "right", "top", "bottom"], default: "bottom"
+        """
         super().__init__(nth_coord, passingthrough_point)
         self._axis_direction = axis_direction
         self.axis = [axes.xaxis, axes.yaxis][self.nth_coord]
@@ -230,8 +241,6 @@ def get_axislabel_transform(self, axes):
     def get_axislabel_pos_angle(self, axes):
         """
         Return the label reference position in transAxes.
-
-        get_label_transform() returns a transform of (transAxes+offset)
         """
         angle = [0, 90][self.nth_coord]
         fixed_coord = 1 - self.nth_coord
@@ -315,6 +324,20 @@ def __init__(self, axes):
         "3.9", "nth_coord", addendum="'nth_coord' is now inferred from 'loc'.")
     def new_fixed_axis(
             self, loc, nth_coord=None, axis_direction=None, offset=None, axes=None):
+        """
+
+        Parameters
+        ----------
+        loc : ["left", "right", "top", "bottom"]
+        axis_direction : ["left", "right", "top", "bottom"], optional
+            If not provided, *loc* is used.
+        offset :
+        axes : `mpl_toolkits.axisartist.axislines.Axes`
+
+        Returns
+        -------
+        `.AxisArtist`
+        """
         if axes is None:
             _api.warn_external(
                 "'new_fixed_axis' explicitly requires the axes keyword.")
@@ -325,6 +348,20 @@ def new_fixed_axis(
                           offset=offset, axis_direction=axis_direction)
 
     def new_floating_axis(self, nth_coord, value, axis_direction="bottom", axes=None):
+        """
+
+        Parameters
+        ----------
+        nth_coord : {0, 1}
+            Along which coordinate the value varies in 2D. 0: x-axis, 1: y-axis.
+        value :
+        axis_direction : ["left", "right", "top", "bottom"], default: "bottom"
+        axes : `mpl_toolkits.axisartist.axislines.Axes`
+
+        Returns
+        -------
+        `.AxisArtist`
+        """
         if axes is None:
             _api.warn_external(
                 "'new_floating_axis' explicitly requires the axes keyword.")
@@ -387,6 +424,14 @@ def __init__(self, *args, grid_helper=None, **kwargs):
         self.toggle_axisline(True)
 
     def toggle_axisline(self, b=None):
+        """
+        Enable/disable or toggle Axis etc.
+
+        Parameters
+        ----------
+        b : bool, optional
+            Enable if True, disable if False, toggle if not provided.
+        """
         if b is None:
             b = not self._axisline_on
         if b:
@@ -462,9 +507,35 @@ def get_children(self):
         return children
 
     def new_fixed_axis(self, loc, offset=None):
+        """
+        Create a new fixed axis in this Axes.
+
+        Parameters
+        ----------
+        loc : ["left", "right", "top", "bottom"]
+        offset : optional
+
+        Returns
+        -------
+        `.AxisArtist`
+        """
         return self.get_grid_helper().new_fixed_axis(loc, offset=offset, axes=self)
 
     def new_floating_axis(self, nth_coord, value, axis_direction="bottom"):
+        """
+        Create a new floating axis in this Axes.
+
+        Parameters
+        ----------
+        nth_coord : {0, 1}
+            Along which coordinate the value varies in 2D. 0: x-axis, 1: y-axis.
+        value :
+        axis_direction : ["left", "right", "top", "bottom"], default: "bottom"
+
+        Returns
+        -------
+        `.AxisArtist`
+        """
         return self.get_grid_helper().new_floating_axis(
             nth_coord, value, axis_direction=axis_direction, axes=self)
 
diff --git a/lib/mpl_toolkits/axisartist/floating_axes.py b/lib/mpl_toolkits/axisartist/floating_axes.py
index 24c9ce61afa7..0b8e30edc247 100644
--- a/lib/mpl_toolkits/axisartist/floating_axes.py
+++ b/lib/mpl_toolkits/axisartist/floating_axes.py
@@ -30,8 +30,13 @@ class FixedAxisArtistHelper(grid_helper_curvelinear.FloatingAxisArtistHelper):
 
     def __init__(self, grid_helper, side, nth_coord_ticks=None):
         """
-        nth_coord = along which coordinate value varies.
-         nth_coord = 0 ->  x axis, nth_coord = 1 -> y axis
+
+        Parameters
+        ----------
+        grid_helper :
+        side : ["left", "right", "top", "bottom"]
+        nth_coord_ticks : {0, 1}
+            0: x-axis, 1: y-axis.
         """
         lon1, lon2, lat1, lat2 = grid_helper.grid_finder.extreme_finder(*[None] * 5)
         value, nth_coord = _api.check_getitem(
diff --git a/lib/mpl_toolkits/axisartist/grid_helper_curvelinear.py b/lib/mpl_toolkits/axisartist/grid_helper_curvelinear.py
index 8dbfa6adf90f..002e1386f8e9 100644
--- a/lib/mpl_toolkits/axisartist/grid_helper_curvelinear.py
+++ b/lib/mpl_toolkits/axisartist/grid_helper_curvelinear.py
@@ -48,10 +48,14 @@ class FixedAxisArtistHelper(_FixedAxisArtistHelperBase):
 
     def __init__(self, grid_helper, side, nth_coord_ticks=None):
         """
-        nth_coord = along which coordinate value varies.
-         nth_coord = 0 ->  x axis, nth_coord = 1 -> y axis
-        """
 
+        Parameters
+        ----------
+        grid_helper :
+        side : ["left", "right", "top", "bottom"]
+        nth_coord_ticks : {0, 1}
+            0: x-axis, 1: y-axis.
+        """
         super().__init__(loc=side)
 
         self.grid_helper = grid_helper