diff --git a/scripts/tests/test_validate_docstrings.py b/scripts/tests/test_validate_docstrings.py
index 1506acc95edf9..d22eeb5a183ce 100644
--- a/scripts/tests/test_validate_docstrings.py
+++ b/scripts/tests/test_validate_docstrings.py
@@ -289,6 +289,59 @@ def say_hello():
         else:
             return None
 
+    def parameters_with_bullet_points(self, method="min"):
+        """
+        Allow bullet points to end without a period.
+
+        Parameters
+        ----------
+        method : {'min', 'max'}, default 'min'
+            Parameter introduction:
+
+            * 'min': the description for min
+            * 'max': the description for max
+        """
+        pass
+
+    def parameters_with_bullet_points1(self, method="min"):
+        """
+        Allow long description in bullet points to end without a period.
+
+        Parameters
+        ----------
+        method : {'min', 'max'}, default 'min'
+            Parameter introduction:
+
+            * 'min': the description for min
+            * 'max': the description for max that can also be very long and
+              requires an extra row
+        """
+        pass
+
+    def parameters_bullet_points_and_directives(self, axis="index", method="min"):
+        """
+        Test bullets points and directories.
+
+        Parameters
+        ----------
+        axis : {'index', 'columns'}, default 'index'
+            Parameter introduction and one directive:
+
+            * 'index': the description for index
+            * 'columns': the description for columns
+
+            .. versionchanged:: 0.1.2
+
+        method : {'min', 'max'}, default 'min'
+            Parameter introduction and two directives:
+
+            * 'min': the description for min
+            * 'max': the description for max
+
+            .. versionadded:: 0.1.2
+            .. deprecated:: 0.00.0
+                A description
+        """
     def multiple_variables_on_one_line(self, matrix, a, b, i, j):
         """
         Swap two values in a matrix.
@@ -301,8 +354,8 @@ def multiple_variables_on_one_line(self, matrix, a, b, i, j):
             The indicies of the first value.
         i, j : int
             The indicies of the second value.
-        """
         pass
+        """
 
 
 class BadGenericDocStrings:
@@ -898,6 +951,9 @@ def test_good_class(self, capsys):
             "good_imports",
             "no_returns",
             "empty_returns",
+            "parameters_with_bullet_points",
+            "parameters_with_bullet_points1",
+            "parameters_bullet_points_and_directives",
             "multiple_variables_on_one_line",
         ],
     )
diff --git a/scripts/validate_docstrings.py b/scripts/validate_docstrings.py
index 1d0f4b583bd0c..c2f2554839839 100755
--- a/scripts/validate_docstrings.py
+++ b/scripts/validate_docstrings.py
@@ -60,6 +60,7 @@
 PRIVATE_CLASSES = ["NDFrame", "IndexOpsMixin"]
 DIRECTIVES = ["versionadded", "versionchanged", "deprecated"]
 DIRECTIVE_PATTERN = re.compile(rf"^\s*\.\. ({'|'.join(DIRECTIVES)})(?!::)", re.I | re.M)
+BULLET_LIST_PATTERN = re.compile(r"(?<=:)(\*|-|\+|•|‣|⁃)\s.*")
 ALLOWED_SECTIONS = [
     "Parameters",
     "Attributes",
@@ -508,6 +509,20 @@ def parameter_desc(self, param):
                 desc = desc[: desc.index(full_directive)]
         return desc
 
+    def has_proper_punctuation(self, param):
+        """Return True if a parameter description is terminated correctly.
+
+        A parameter description should always be terminated with a period, a
+        part from when it ends with a bullet point.
+        """
+        if self.parameter_desc(param)[-1] == ".":
+            return True
+        else:
+            # Check if the parameter description ends with a bullet list
+            if re.search(BULLET_LIST_PATTERN, self.parameter_desc(param)):
+                return True
+            return False
+
     @property
     def see_also(self):
         result = collections.OrderedDict()
@@ -770,7 +785,7 @@ def get_validation_data(doc):
         else:
             if not doc.parameter_desc(param)[0].isupper():
                 errs.append(error("PR08", param_name=param))
-            if doc.parameter_desc(param)[-1] != ".":
+            if not doc.has_proper_punctuation(param):
                 errs.append(error("PR09", param_name=param))
 
     if doc.is_function_or_method: