diff --git a/CHANGELOG.md b/CHANGELOG.md
index 8555c6ac..a4b400fc 100644
--- a/CHANGELOG.md
+++ b/CHANGELOG.md
@@ -8,6 +8,10 @@ and this project adheres to [Semantic Versioning](https://semver.org/spec/v2.0.0
 
 ### Fixed
 - Exception rethrow in crud API (PR #310).
+- Work with timestamps larger than year 2038 for some platforms (like Windows) (PR #311).
+  It covers
+  - building new `tarantool.Datetime` objects from timestamp,
+  - parsing datetime objects received from Tarantool.
 
 ## 1.1.1 - 2023-07-19
 
diff --git a/tarantool/msgpack_ext/types/datetime.py b/tarantool/msgpack_ext/types/datetime.py
index 1a546cfc..993df404 100644
--- a/tarantool/msgpack_ext/types/datetime.py
+++ b/tarantool/msgpack_ext/types/datetime.py
@@ -6,7 +6,6 @@
 from calendar import monthrange
 from copy import deepcopy
 from datetime import datetime, timedelta
-import sys
 
 import pytz
 
@@ -314,13 +313,12 @@ def __init__(self, *, timestamp=None, year=None, month=None,
                     timestamp += nsec // NSEC_IN_SEC
                     nsec = nsec % NSEC_IN_SEC
 
-            if (sys.platform.startswith("win")) and (timestamp < 0):
-                # Fails to create a datetime from negative timestamp on Windows.
-                _datetime = _EPOCH + timedelta(seconds=timestamp)
-            else:
-                # Timezone-naive datetime objects are treated by many datetime methods
-                # as local times, so we represent time in UTC explicitly if not provided.
-                _datetime = datetime.fromtimestamp(timestamp, pytz.UTC)
+            # datetime.fromtimestamp may raise OverflowError, if the timestamp
+            # is out of the range of values supported by the platform C localtime()
+            # function, and OSError on localtime() failure. It’s common for this
+            # to be restricted to years from 1970 through 2038, yet we want
+            # to support a wider range.
+            _datetime = _EPOCH + timedelta(seconds=timestamp)
 
             if nsec is not None:
                 _datetime = _datetime.replace(microsecond=nsec // NSEC_IN_MKSEC)
diff --git a/test/suites/test_datetime.py b/test/suites/test_datetime.py
index 9f250804..80958fdc 100644
--- a/test/suites/test_datetime.py
+++ b/test/suites/test_datetime.py
@@ -153,6 +153,24 @@ def test_datetime_class_api_wth_tz(self):
             'type': ValueError,
             'msg': 'Failed to create datetime with ambiguous timezone "AET"'
         },
+        'under_min_timestamp_1': {
+            'args': [],
+            'kwargs': {'timestamp': -62135596801},
+            'type': OverflowError,
+            'msg': 'date value out of range'
+        },
+        'under_min_timestamp_2': {
+            'args': [],
+            'kwargs': {'timestamp': -62135596800, 'nsec': -1},
+            'type': OverflowError,
+            'msg': 'date value out of range'
+        },
+        'over_max_timestamp': {
+            'args': [],
+            'kwargs': {'timestamp': 253402300800},
+            'type': OverflowError,
+            'msg': 'date value out of range'
+        },
     }
 
     def test_datetime_class_invalid_init(self):
@@ -293,6 +311,28 @@ def test_datetime_class_invalid_init(self):
             'tarantool': r"datetime.new({timestamp=1661969274, nsec=308543321, "
                          r"tz='Europe/Moscow'})",
         },
+        'min_datetime': {  # Python datetime.MINYEAR is 1.
+            'python': tarantool.Datetime(year=1, month=1, day=1, hour=0, minute=0, sec=0),
+            'msgpack': (b'\x00\x09\x6e\x88\xf1\xff\xff\xff'),
+            'tarantool': r"datetime.new({year=1, month=1, day=1, hour=0, min=0, sec=0})",
+        },
+        'max_datetime': {  # Python datetime.MAXYEAR is 9999.
+            'python': tarantool.Datetime(year=9999, month=12, day=31, hour=23, minute=59, sec=59,
+                                         nsec=999999999),
+            'msgpack': (b'\x7f\x41\xf4\xff\x3a\x00\x00\x00\xff\xc9\x9a\x3b\x00\x00\x00\x00'),
+            'tarantool': r"datetime.new({year=9999, month=12, day=31, hour=23, min=59, sec=59,"
+                         r"nsec=999999999})",
+        },
+        'min_datetime_timestamp': {  # Python datetime.MINYEAR is 1.
+            'python': tarantool.Datetime(timestamp=-62135596800),
+            'msgpack': (b'\x00\x09\x6e\x88\xf1\xff\xff\xff'),
+            'tarantool': r"datetime.new({timestamp=-62135596800})",
+        },
+        'max_datetime_timestamp': {  # Python datetime.MAXYEAR is 9999.
+            'python': tarantool.Datetime(timestamp=253402300799, nsec=999999999),
+            'msgpack': (b'\x7f\x41\xf4\xff\x3a\x00\x00\x00\xff\xc9\x9a\x3b\x00\x00\x00\x00'),
+            'tarantool': r"datetime.new({timestamp=253402300799, nsec=999999999})",
+        },
     }
 
     def test_msgpack_decode(self):