diff --git a/AUTHORS b/AUTHORS
index d6d2737a4bf..f4a2769ca3c 100644
--- a/AUTHORS
+++ b/AUTHORS
@@ -195,6 +195,7 @@ Grig Gheorghiu
 Grigorii Eremeev (budulianin)
 Guido Wesdorp
 Guoqiang Zhang
+Hamza Mobeen
 Harald Armin Massa
 Harshna
 Henk-Jaap Wagenaar
diff --git a/changelog/8395.feature.rst b/changelog/8395.feature.rst
new file mode 100644
index 00000000000..61c16216182
--- /dev/null
+++ b/changelog/8395.feature.rst
@@ -0,0 +1 @@
+Added support for :class:`~datetime.datetime` and :class:`~datetime.timedelta` comparisons with :func:`pytest.approx`. An explicit ``abs`` or ``rel`` tolerance as a :class:`~datetime.timedelta` is required and relative tolerance is not supported for datetime comparisons -- by :user:`hamza-mobeen`.
diff --git a/src/_pytest/python_api.py b/src/_pytest/python_api.py
index 9e2e1826a4f..f6d5e31a588 100644
--- a/src/_pytest/python_api.py
+++ b/src/_pytest/python_api.py
@@ -1,10 +1,13 @@
 # mypy: allow-untyped-defs
 from __future__ import annotations
 
+import builtins
 from collections.abc import Collection
 from collections.abc import Mapping
 from collections.abc import Sequence
 from collections.abc import Sized
+from datetime import datetime
+from datetime import timedelta
 from decimal import Decimal
 import math
 from numbers import Complex
@@ -558,10 +561,75 @@ def __repr__(self) -> str:
         return f"{self.expected} ± {tol_str}"
 
 
+class ApproxTimedelta(ApproxBase):
+    """Perform approximate comparisons where the expected value is a
+    datetime or timedelta.
+
+    Requires an explicit tolerance as a timedelta.
+    Relative tolerance is not supported for datetime comparisons.
+    """
+
+    def __init__(self, expected, rel=None, abs=None, nan_ok: bool = False) -> None:
+        __tracebackhide__ = True
+        if isinstance(expected, datetime) and rel is not None:
+            raise TypeError(
+                "pytest.approx() does not support relative tolerance for "
+                "datetime comparisons. Use abs=timedelta(...) instead."
+            )
+        if nan_ok:
+            raise TypeError(
+                "pytest.approx() does not support nan_ok for "
+                "datetime/timedelta comparisons."
+            )
+        if abs is None and rel is None:
+            raise TypeError(
+                "pytest.approx() requires an explicit tolerance for "
+                "datetime/timedelta comparisons: "
+                "e.g. approx(expected, abs=timedelta(seconds=1))"
+            )
+        if abs is not None and not isinstance(abs, timedelta):
+            raise TypeError(
+                f"absolute tolerance for datetime/timedelta must be a "
+                f"timedelta, got {type(abs).__name__}"
+            )
+        if rel is not None and not isinstance(rel, timedelta):
+            raise TypeError(
+                f"relative tolerance for timedelta must be a "
+                f"timedelta, got {type(rel).__name__}"
+            )
+        tolerance = max(t for t in (abs, rel) if t is not None)
+        super().__init__(expected, rel=None, abs=tolerance, nan_ok=False)
+
+    def __repr__(self) -> str:
+        return f"{self.expected} ± {self.abs}"
+
+    def __eq__(self, actual) -> bool:
+        try:
+            return bool(builtins.abs(self.expected - actual) <= self.abs)
+        except (TypeError, OverflowError):
+            return False
+
+    def _yield_comparisons(self, actual):
+        yield actual, self.expected
+
+    def _repr_compare(self, other_side: Any) -> list[str]:
+        try:
+            abs_diff = builtins.abs(self.expected - other_side)
+        except (TypeError, OverflowError):
+            abs_diff = "N/A"
+        return [
+            "comparison failed",
+            f"Obtained: {other_side}",
+            f"Expected: {self.expected} ± {self.abs}",
+            f"Absolute difference: {abs_diff}",
+            f"Tolerance: {self.abs}",
+        ]
+
+
 def approx(
     expected: Any,
-    rel: float | Decimal | None = None,
-    abs: float | Decimal | None = None,
+    rel: float | Decimal | timedelta | None = None,
+    abs: float | Decimal | timedelta | None = None,
     nan_ok: bool = False,
 ) -> ApproxBase:
     """Assert that two numbers (or two ordered sequences of numbers) are equal to each other
@@ -677,6 +745,23 @@ def approx(
         >>> ["foo", 1.0000005] == approx([None,1])
         False
 
+    **datetime and timedelta**
+
+    You can also use ``approx`` to compare :class:`~datetime.datetime` and
+    :class:`~datetime.timedelta` objects by specifying an absolute tolerance
+    as a :class:`~datetime.timedelta`::
+
+        >>> from datetime import datetime, timedelta
+        >>> dt1 = datetime(2024, 1, 1, 12, 0, 0)
+        >>> dt2 = datetime(2024, 1, 1, 12, 0, 0, 500000)
+        >>> dt1 == approx(dt2, abs=timedelta(seconds=1))
+        True
+
+    Note that ``rel`` is not supported for datetime comparisons,
+    and ``abs`` or ``rel`` must be explicitly provided as a ``timedelta`` object.
+
+    .. versionadded:: 8.4
+
     If you're thinking about using ``approx``, then you might want to know how
     it compares to other good ways of comparing floating-point numbers.  All of
     these algorithms are based on relative and absolute tolerances and should
@@ -785,6 +870,8 @@ def approx(
     elif isinstance(expected, Collection) and not isinstance(expected, str | bytes):
         msg = f"pytest.approx() only supports ordered sequences, but got: {expected!r}"
         raise TypeError(msg)
+    elif isinstance(expected, (datetime, timedelta)):
+        cls = ApproxTimedelta
     else:
         cls = ApproxScalar
 
diff --git a/testing/python/approx.py b/testing/python/approx.py
index bf9fad6cb56..4369dc24ad4 100644
--- a/testing/python/approx.py
+++ b/testing/python/approx.py
@@ -1118,6 +1118,223 @@ def test_assertion_rewriting_works_with_approx_on_lhs(
         ]
 
 
+class TestApproxDatetime:
+    """Tests for datetime/timedelta support in approx (issue #8395)."""
+
+    def test_datetime_exactly_equal(self):
+        from datetime import datetime
+        from datetime import timedelta
+
+        dt = datetime(2024, 1, 1, 12, 0, 0)
+        assert dt == approx(dt, abs=timedelta(seconds=1))
+
+    def test_datetime_within_tolerance(self):
+        from datetime import datetime
+        from datetime import timedelta
+
+        dt1 = datetime(2024, 1, 1, 12, 0, 0)
+        dt2 = datetime(2024, 1, 1, 12, 0, 0, 500000)  # +0.5s
+        assert dt1 == approx(dt2, abs=timedelta(seconds=1))
+
+    def test_datetime_outside_tolerance(self):
+        from datetime import datetime
+        from datetime import timedelta
+
+        dt1 = datetime(2024, 1, 1, 12, 0, 0)
+        dt2 = datetime(2024, 1, 1, 12, 0, 2)  # +2s
+        assert dt1 != approx(dt2, abs=timedelta(seconds=1))
+
+    def test_datetime_negative_difference(self):
+        from datetime import datetime
+        from datetime import timedelta
+
+        dt1 = datetime(2024, 1, 1, 12, 0, 1)
+        dt2 = datetime(2024, 1, 1, 12, 0, 0)  # dt2 < dt1
+        assert dt1 == approx(dt2, abs=timedelta(seconds=2))
+        assert dt1 != approx(dt2, abs=timedelta(milliseconds=500))
+
+    def test_timedelta_within_tolerance(self):
+        from datetime import timedelta
+
+        td1 = timedelta(seconds=100)
+        td2 = timedelta(seconds=100.5)
+        assert td1 == approx(td2, abs=timedelta(seconds=1))
+
+    def test_timedelta_outside_tolerance(self):
+        from datetime import timedelta
+
+        td1 = timedelta(seconds=100)
+        td2 = timedelta(seconds=102)
+        assert td1 != approx(td2, abs=timedelta(seconds=1))
+
+    def test_timedelta_rel_within_tolerance(self):
+        from datetime import timedelta
+
+        td1 = timedelta(seconds=100)
+        td2 = timedelta(seconds=100.5)
+        assert td1 == approx(td2, rel=timedelta(seconds=1))
+
+    def test_timedelta_rel_outside_tolerance(self):
+        from datetime import timedelta
+
+        td1 = timedelta(seconds=100)
+        td2 = timedelta(seconds=102)
+        assert td1 != approx(td2, rel=timedelta(seconds=1))
+
+    def test_requires_tolerance(self):
+        from datetime import datetime
+
+        with pytest.raises(TypeError, match="requires an explicit tolerance"):
+            approx(datetime(2024, 1, 1))
+
+    def test_datetime_rejects_rel(self):
+        from datetime import datetime
+        from datetime import timedelta
+
+        with pytest.raises(TypeError, match="does not support relative tolerance"):
+            approx(datetime(2024, 1, 1), rel=0.1, abs=timedelta(seconds=1))
+
+        with pytest.raises(TypeError, match="does not support relative tolerance"):
+            approx(datetime(2024, 1, 1), rel=timedelta(seconds=1))
+
+    def test_abs_must_be_timedelta(self):
+        from datetime import datetime
+
+        with pytest.raises(TypeError, match="must be a timedelta"):
+            approx(datetime(2024, 1, 1), abs=1.0)
+
+    def test_timedelta_rel_must_be_timedelta(self):
+        from datetime import timedelta
+
+        with pytest.raises(TypeError, match="must be a timedelta"):
+            approx(timedelta(seconds=1), rel=0.1)
+
+    def test_rejects_nan_ok(self):
+        from datetime import datetime
+        from datetime import timedelta
+
+        with pytest.raises(TypeError, match="does not support nan_ok"):
+            approx(datetime(2024, 1, 1), abs=timedelta(seconds=1), nan_ok=True)
+
+    def test_datetime_repr(self):
+        from datetime import datetime
+        from datetime import timedelta
+
+        dt = datetime(2024, 1, 1, 12, 0, 0)
+        result = repr(approx(dt, abs=timedelta(seconds=1)))
+        assert "2024-01-01 12:00:00" in result
+        assert "0:00:01" in result
+
+    def test_timedelta_repr(self):
+        from datetime import timedelta
+
+        td = timedelta(seconds=100)
+        result = repr(approx(td, abs=timedelta(seconds=1)))
+        assert "0:01:40" in result  # 100 seconds
+        assert "0:00:01" in result  # 1 second tolerance
+
+    def test_datetime_symmetry(self):
+        """Approx comparison should work on both sides of ==."""
+        from datetime import datetime
+        from datetime import timedelta
+
+        dt1 = datetime(2024, 1, 1, 12, 0, 0)
+        dt2 = datetime(2024, 1, 1, 12, 0, 0, 500000)
+        tol = timedelta(seconds=1)
+        assert dt1 == approx(dt2, abs=tol)
+        assert approx(dt2, abs=tol) == dt1
+
+    def test_datetime_ne_operator(self):
+        from datetime import datetime
+        from datetime import timedelta
+
+        dt1 = datetime(2024, 1, 1, 12, 0, 0)
+        dt2 = datetime(2024, 1, 1, 12, 0, 5)
+        tol = timedelta(seconds=1)
+        assert dt1 != approx(dt2, abs=tol)
+        assert not (dt1 == approx(dt2, abs=tol))
+
+    def test_datetime_with_timezone(self):
+        from datetime import datetime
+        from datetime import timedelta
+        from datetime import timezone
+
+        tz = timezone.utc
+        dt1 = datetime(2024, 1, 1, 12, 0, 0, tzinfo=tz)
+        dt2 = datetime(2024, 1, 1, 12, 0, 0, 500000, tzinfo=tz)
+        assert dt1 == approx(dt2, abs=timedelta(seconds=1))
+
+    def test_datetime_error_message(self):
+        from datetime import datetime
+        from datetime import timedelta
+
+        dt1 = datetime(2024, 1, 1, 12, 0, 0)
+        dt2 = datetime(2024, 1, 1, 12, 0, 5)  # 5 seconds off
+        with pytest.raises(AssertionError, match="comparison failed"):
+            assert dt1 == approx(dt2, abs=timedelta(seconds=1))
+
+    def test_timedelta_zero(self):
+        from datetime import timedelta
+
+        td1 = timedelta(seconds=0)
+        td2 = timedelta(seconds=0)
+        assert td1 == approx(td2, abs=timedelta(seconds=1))
+
+    def test_datetime_boundary_exact(self):
+        """Test that values exactly at the tolerance boundary are equal."""
+        from datetime import datetime
+        from datetime import timedelta
+
+        dt1 = datetime(2024, 1, 1, 12, 0, 0)
+        dt2 = datetime(2024, 1, 1, 12, 0, 1)  # exactly 1 second
+        assert dt1 == approx(dt2, abs=timedelta(seconds=1))
+
+    def test_datetime_microsecond_tolerance(self):
+        from datetime import datetime
+        from datetime import timedelta
+
+        dt1 = datetime(2024, 1, 1, 12, 0, 0, 0)
+        dt2 = datetime(2024, 1, 1, 12, 0, 0, 100)  # +100 microseconds
+        assert dt1 == approx(dt2, abs=timedelta(microseconds=200))
+        assert dt1 != approx(dt2, abs=timedelta(microseconds=50))
+
+    def test_bool_context_raises(self):
+        from datetime import datetime
+        from datetime import timedelta
+
+        with pytest.raises(AssertionError, match="boolean context"):
+            bool(approx(datetime(2024, 1, 1), abs=timedelta(seconds=1)))
+
+    def test_wrong_type_comparison(self):
+        """Comparing a datetime approx with a non-datetime should return False."""
+        from datetime import datetime
+        from datetime import timedelta
+
+        assert 42 != approx(datetime(2024, 1, 1), abs=timedelta(seconds=1))
+        assert "string" != approx(datetime(2024, 1, 1), abs=timedelta(seconds=1))
+
+    def test_yield_comparisons(self):
+        """Test that _yield_comparisons yields (actual, expected) pairs."""
+        from datetime import datetime
+        from datetime import timedelta
+
+        dt = datetime(2024, 1, 1, 12, 0, 0)
+        a = approx(dt, abs=timedelta(seconds=1))
+        actual = datetime(2024, 1, 1, 12, 0, 0, 500000)
+        pairs = list(a._yield_comparisons(actual))
+        assert pairs == [(actual, dt)]
+
+    def test_repr_compare_with_incompatible_type(self):
+        """_repr_compare handles TypeError when actual is not a datetime."""
+        from datetime import datetime
+        from datetime import timedelta
+
+        a = approx(datetime(2024, 1, 1), abs=timedelta(seconds=1))
+        result = a._repr_compare("not a datetime")
+        assert "comparison failed" in result[0]
+        assert "N/A" in result[3]
+
+
 class MyVec3:  # incomplete
     """sequence like"""