diff --git a/pandas/io/pytables.py b/pandas/io/pytables.py
index f85128ea0ca4a..8c8e9b9feeb80 100644
--- a/pandas/io/pytables.py
+++ b/pandas/io/pytables.py
@@ -2074,6 +2074,14 @@ def convert(self, values: np.ndarray, nan_rep, encoding: str, errors: str):
         factory: type[Index] | type[DatetimeIndex] = Index
         if is_datetime64_dtype(values.dtype) or is_datetime64tz_dtype(values.dtype):
             factory = DatetimeIndex
+        elif values.dtype == "i8" and "freq" in kwargs:
+            # PeriodIndex data is stored as i8
+            # error: Incompatible types in assignment (expression has type
+            # "Callable[[Any, KwArg(Any)], PeriodIndex]", variable has type
+            # "Union[Type[Index], Type[DatetimeIndex]]")
+            factory = lambda x, **kwds: PeriodIndex(  # type: ignore[assignment]
+                ordinal=x, **kwds
+            )
 
         # making an Index instance could throw a number of different errors
         try:
diff --git a/pandas/tests/io/pytables/test_put.py b/pandas/tests/io/pytables/test_put.py
index 3707079d03d64..f4b70bc6f238a 100644
--- a/pandas/tests/io/pytables/test_put.py
+++ b/pandas/tests/io/pytables/test_put.py
@@ -243,10 +243,8 @@ def check(format, index):
             check("table", index)
             check("fixed", index)
 
-        # period index currently broken for table
-        # seee GH7796 FIXME
         check("fixed", tm.makePeriodIndex)
-        # check('table',tm.makePeriodIndex)
+        check("table", tm.makePeriodIndex)  # GH#7796
 
         # unicode
         index = tm.makeUnicodeIndex