diff --git a/HISTORY.md b/HISTORY.md
index 6a1985e3..9513bfd3 100644
--- a/HISTORY.md
+++ b/HISTORY.md
@@ -1,5 +1,11 @@
 # History
 
+## Unreleased
+
+### Bugfixes
+
+- Fix time and datetime export in ODS format (#595).
+
 ## 3.6.1 (2024-04-04)
 
 ### Bugfixes
diff --git a/src/tablib/formats/_ods.py b/src/tablib/formats/_ods.py
index 34b47a0d..cb5fbdab 100644
--- a/src/tablib/formats/_ods.py
+++ b/src/tablib/formats/_ods.py
@@ -92,7 +92,11 @@ def convert_date(val):
                 return convert_date(date_value)
         if value_type == 'time':
             time_value = cell.getAttribute('timevalue')
-            return dt.datetime.strptime(time_value, "%H:%M:%S").time()
+            try:
+                return dt.datetime.strptime(time_value, "PT%HH%MM%SS").time()
+            except ValueError:
+                # backwards compatibility for times exported with older tablib versions
+                return dt.datetime.strptime(time_value, "%H:%M:%S").time()
         if value_type == 'boolean':
             bool_value = cell.getAttribute('booleanvalue')
             return bool_value == 'true'
@@ -158,12 +162,12 @@ def dset_sheet(cls, dataset, ws):
                     cell = table.TableCell(valuetype="float", value=col)
                 elif isinstance(col, dt.datetime):
                     cell = table.TableCell(
-                        valuetype="date", value=col.strftime('%Y-%m-%dT%H:%M:%S')
+                        valuetype="date", datevalue=col.strftime('%Y-%m-%dT%H:%M:%S')
                     )
                 elif isinstance(col, dt.date):
                     cell = table.TableCell(valuetype="date", datevalue=col.strftime('%Y-%m-%d'))
                 elif isinstance(col, dt.time):
-                    cell = table.TableCell(valuetype="time", timevalue=col.strftime('%H:%M:%S'))
+                    cell = table.TableCell(valuetype="time", timevalue=col.strftime('PT%HH%MM%SS'))
                 elif col is None:
                     cell = table.TableCell(valuetype="void")
                 else:
diff --git a/tests/files/book.ods b/tests/files/book.ods
index a2697680..4c2b49f9 100644
Binary files a/tests/files/book.ods and b/tests/files/book.ods differ
diff --git a/tests/test_tablib.py b/tests/test_tablib.py
index d557d25e..aad6ae3c 100755
--- a/tests/test_tablib.py
+++ b/tests/test_tablib.py
@@ -5,6 +5,7 @@
 import doctest
 import json
 import pickle
+import re
 import tempfile
 import unittest
 from decimal import Decimal
@@ -13,6 +14,7 @@
 from uuid import uuid4
 
 import xlrd
+from odf import opendocument, table
 from openpyxl.reader.excel import load_workbook
 
 import tablib
@@ -1214,6 +1216,26 @@ def test_ods_unknown_value_type(self):
             dataset = tablib.Dataset().load(fh, 'ods')
         self.assertEqual(dataset.pop(), ('abcd',))
 
+    def test_ods_export_dates(self):
+        """test against odf specification"""
+        date = dt.date(2019, 10, 4)
+        date_time = dt.datetime(2019, 10, 4, 12, 30, 8)
+        time = dt.time(14, 30)
+        data.append((date, time, date_time))
+        data.headers = ('date', 'time', 'date/time')
+        _ods = data.ods
+        ods_book = opendocument.load(BytesIO(_ods))
+        cells = ods_book.spreadsheet.getElementsByType(table.TableRow)[1].childNodes
+        # date value
+        self.assertEqual(cells[0].getAttribute('datevalue'), '2019-10-04')
+        # time value
+        duration_exp = re.compile(r"^P(?:(\d+)Y)?(?:(\d+)M)?(?:(\d+)D)?"
+                                  r"(?:T(?:(\d+)H)?(?:(\d+)M)?(?:([\d.]+)S)?)?$")
+        duration = duration_exp.match(cells[1].getAttribute('timevalue')).groups()
+        self.assertListEqual([0, 0, 0, 14, 30, 0], [int(v or 0) for v in duration])
+        # datetime value
+        self.assertEqual(cells[2].getAttribute('datevalue'), '2019-10-04T12:30:08')
+
 
 class XLSTests(BaseTestCase):
     def test_xls_format_detect(self):