diff --git a/docs/releases.rst b/docs/releases.rst
index 425d13b937..4cc2b52a9d 100644
--- a/docs/releases.rst
+++ b/docs/releases.rst
@@ -42,6 +42,9 @@ The ``tmt link`` command now supports providing multiple links by
 using the ``--link`` option. See the :ref:`link-issues` section
 for example usage.
 
+The :ref:`/plugins/provision/beaker` provision plugin gains support
+for :ref:`cpu.stepping</spec/hardware/cpu>` hardware requirement.
+
 
 tmt-1.37.0
 ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
diff --git a/spec/hardware/cpu.fmf b/spec/hardware/cpu.fmf
index 98b411a6a2..5001be7357 100644
--- a/spec/hardware/cpu.fmf
+++ b/spec/hardware/cpu.fmf
@@ -65,6 +65,9 @@ description: |
     model, stepping and corresponding names. ``/proc/cpuinfo`` and ``lscpu``
     are also useful resources.
 
+    .. versionchanged:: 1.38
+       ``beaker`` plugins supports ``stepping``
+
     .. versionchanged:: 1.35
        ``beaker`` plugins supports ``vendor-name``
 
@@ -108,8 +111,13 @@ example:
     cpu:
         hyper-threading: true
 
+  - |
+    # Request a CPU with specified stepping.
+    cpu:
+        stepping: 9
+
 link:
   - implemented-by: /tmt/steps/provision/artemis.py
     note: "``cpu.vendor``, ``cpu.vendor-name`` and ``cpu.hyper-threading`` not implemented yet"
   - implemented-by: /tmt/steps/provision/mrack.py
-    note: "``cpu.flag``, ``cpu.processors``, ``cpu.model``, ``cpu.cores``, ``cpu.model-name``, ``cpu.hyper-threading`` and ``cpu.vendor-name`` only"
+    note: "``cpu.flag``, ``cpu.processors``, ``cpu.model``, ``cpu.cores``, ``cpu.model-name``, ``cpu.hyper-threading``, ``cpu.stepping`` and ``cpu.vendor-name`` only"
diff --git a/tests/unit/provision/mrack/test_hw.py b/tests/unit/provision/mrack/test_hw.py
index e0d0827511..23ce742794 100644
--- a/tests/unit/provision/mrack/test_hw.py
+++ b/tests/unit/provision/mrack/test_hw.py
@@ -100,7 +100,14 @@ def test_maximal_constraint(root_logger: Logger) -> None:
                         },
                     {'or': []},
                     {'or': []},
-                    {'or': []},
+                    {
+                        'cpu': {
+                            'stepping': {
+                                '_op': '!=',
+                                '_value': '10',
+                                },
+                            },
+                        },
                     {'or': []},
                     {
                         'not':
@@ -386,6 +393,20 @@ def test_cpu_cores(root_logger: Logger) -> None:
         }
 
 
+def test_cpu_stepping(root_logger: Logger) -> None:
+    result = _CONSTRAINT_TRANSFORMERS['cpu.stepping'](
+        _parse_cpu({'stepping': '10'}), root_logger)
+
+    assert result.to_mrack() == {
+        'cpu': {
+            'stepping': {
+                '_op': '==',
+                '_value': '10'
+                }
+            }
+        }
+
+
 def test_cpu_vendor_name(root_logger: Logger) -> None:
     result = _CONSTRAINT_TRANSFORMERS['cpu.vendor_name'](
         _parse_cpu({'vendor-name': 'GenuineIntel'}), root_logger)
diff --git a/tmt/steps/provision/mrack.py b/tmt/steps/provision/mrack.py
index d2be3b1d10..fb458e0770 100644
--- a/tmt/steps/provision/mrack.py
+++ b/tmt/steps/provision/mrack.py
@@ -297,6 +297,18 @@ def _transform_cpu_model_name(
         children=[MrackHWBinOp('model_name', beaker_operator, actual_value)])
 
 
+def _transform_cpu_stepping(
+        constraint: tmt.hardware.NumberConstraint,
+        logger: tmt.log.Logger) -> MrackBaseHWElement:
+    beaker_operator, actual_value, _ = operator_to_beaker_op(
+        constraint.operator,
+        str(constraint.value))
+
+    return MrackHWGroup(
+        'cpu',
+        children=[MrackHWBinOp('stepping', beaker_operator, actual_value)])
+
+
 def _transform_cpu_vendor_name(
         constraint: tmt.hardware.TextConstraint,
         logger: tmt.log.Logger) -> MrackBaseHWElement:
@@ -572,12 +584,13 @@ def _transform_system_numa_nodes(
 
 _CONSTRAINT_TRANSFORMERS: Mapping[str, ConstraintTransformer] = {
     'beaker.pool': _transform_beaker_pool,  # type: ignore[dict-item]
+    'cpu.cores': _transform_cpu_cores,  # type: ignore[dict-item]
     'cpu.flag': _transform_cpu_flag,  # type: ignore[dict-item]
     'cpu.hyper_threading': _transform_cpu_hyper_threading,  # type: ignore[dict-item]
     'cpu.model': _transform_cpu_model,  # type: ignore[dict-item]
-    'cpu.processors': _transform_cpu_processors,  # type: ignore[dict-item]
-    'cpu.cores': _transform_cpu_cores,  # type: ignore[dict-item]
     'cpu.model_name': _transform_cpu_model_name,  # type: ignore[dict-item]
+    'cpu.processors': _transform_cpu_processors,  # type: ignore[dict-item]
+    'cpu.stepping': _transform_cpu_stepping,  # type: ignore[dict-item]
     'cpu.vendor_name': _transform_cpu_vendor_name,  # type: ignore[dict-item]
     'disk.driver': _transform_disk_driver,  # type: ignore[dict-item]
     'disk.model_name': _transform_disk_model_name,  # type: ignore[dict-item]