diff --git a/pandas/_libs/tslibs/period.pyx b/pandas/_libs/tslibs/period.pyx
index 54bf041d59264..e954ec9bccd9e 100644
--- a/pandas/_libs/tslibs/period.pyx
+++ b/pandas/_libs/tslibs/period.pyx
@@ -2656,7 +2656,7 @@ class Period(_Period):
 
     Parameters
     ----------
-    value : Period or str, default None
+    value : Period, str, datetime, date or pandas.Timestamp, default None
         The time period represented (e.g., '4Q2005'). This represents neither
         the start or the end of the period, but rather the entire period itself.
     freq : str, default None
diff --git a/pandas/core/indexes/period.py b/pandas/core/indexes/period.py
index f693f9557ecdc..f40d63c8b8128 100644
--- a/pandas/core/indexes/period.py
+++ b/pandas/core/indexes/period.py
@@ -476,7 +476,7 @@ def period_range(
 
     Parameters
     ----------
-    start : str or period-like, default None
+    start : str, datetime, date, pandas.Timestamp, or period-like, default None
         Left bound for generating periods.
     end : str or period-like, default None
         Right bound for generating periods.