diff --git a/qiskit_ibm_runtime/execution_span/__init__.py b/qiskit_ibm_runtime/execution_span/__init__.py
index 7637ae82d..49d891b25 100644
--- a/qiskit_ibm_runtime/execution_span/__init__.py
+++ b/qiskit_ibm_runtime/execution_span/__init__.py
@@ -35,9 +35,11 @@
     ExecutionSpans
     ShapeType
     SliceSpan
+    TwirledSliceSpan
 """
 
 from .double_slice_span import DoubleSliceSpan
 from .execution_span import ExecutionSpan, ShapeType
 from .execution_spans import ExecutionSpans
 from .slice_span import SliceSpan
+from .twirled_slice_span import TwirledSliceSpan
diff --git a/qiskit_ibm_runtime/execution_span/double_slice_span.py b/qiskit_ibm_runtime/execution_span/double_slice_span.py
index 2e9bc0b0c..70238f505 100644
--- a/qiskit_ibm_runtime/execution_span/double_slice_span.py
+++ b/qiskit_ibm_runtime/execution_span/double_slice_span.py
@@ -28,16 +28,16 @@ class DoubleSliceSpan(ExecutionSpan):
     """An :class:`~.ExecutionSpan` for data stored in a sliceable format.
 
     This type of execution span references pub result data by assuming that it is a sliceable
-    portion of the data where the shots are the outermost slice and the rest of the data is flattened.
-    Therefore, for each pub dependent on this span, the constructor accepts two :class:`slice` objects,
-    along with the corresponding shape of the data to be sliced; in contrast to
-    :class:`~.SliceSpan`, this class does not assume that *all* shots for a particular set of parameter
-    values are contiguous in the array of data.
+    portion of the data where the shots are the outermost slice and the rest of the data is
+    flattened. Therefore, for each pub dependent on this span, the constructor accepts two
+    :class:`slice` objects, along with the corresponding shape of the data to be sliced; in contrast
+    to :class:`~.SliceSpan`, this class does not assume that *all* shots for a particular set of
+    parameter values are contiguous in the array of data.
 
     Args:
         start: The start time of the span, in UTC.
         stop: The stop time of the span, in UTC.
-        data_slices: A map from pub indices to ``(shape_tuple, slice, slice)``.
+        data_slices: A map from pub indices to ``(shape_tuple, flat_shape_slice, shots_slice)``.
     """
 
     def __init__(
diff --git a/qiskit_ibm_runtime/execution_span/twirled_slice_span.py b/qiskit_ibm_runtime/execution_span/twirled_slice_span.py
new file mode 100644
index 000000000..06be56d70
--- /dev/null
+++ b/qiskit_ibm_runtime/execution_span/twirled_slice_span.py
@@ -0,0 +1,92 @@
+# This code is part of Qiskit.
+#
+# (C) Copyright IBM 2024.
+#
+# This code is licensed under the Apache License, Version 2.0. You may
+# obtain a copy of this license in the LICENSE.txt file in the root directory
+# of this source tree or at http://www.apache.org/licenses/LICENSE-2.0.
+#
+# Any modifications or derivative works of this code must retain this
+# copyright notice, and modified files need to carry a notice indicating
+# that they have been altered from the originals.
+
+"""TwirledSliceSpan"""
+
+from __future__ import annotations
+
+from datetime import datetime
+from typing import Iterable
+
+import math
+import numpy as np
+import numpy.typing as npt
+
+from .execution_span import ExecutionSpan, ShapeType
+
+
+class TwirledSliceSpan(ExecutionSpan):
+    """An :class:`~.ExecutionSpan` for data stored in a sliceable format when twirling.
+
+    This type of execution span references pub result data that came from a twirled sampler
+    experiment which was executed by either prepending or appending an axis to paramater values
+    to account for twirling. Concretely, ``data_slices`` is a map from pub slices to tuples
+    ``(twirled_shape, at_front, shape_slice, shots_slice)`` where
+
+    * ``twirled_shape`` is the shape tuple including a twirling axis, and where the last
+      axis is shots per randomization,
+    * ``at_front`` is whether ``num_randomizations`` is at the front of the tuple, as
+      opposed to right before the ``shots`` axis at the end,
+    * ``shape_slice`` is a slice of an array of shape ``twirled_shape[:-1]``, flattened,
+    * and ``shots_slice`` is a slice of ``twirled_shape[-1]``.
+
+    Args:
+        start: The start time of the span, in UTC.
+        stop: The stop time of the span, in UTC.
+        data_slices: A map from pub indices to length-4 tuples described above.
+    """
+
+    def __init__(
+        self,
+        start: datetime,
+        stop: datetime,
+        data_slices: dict[int, tuple[ShapeType, bool, slice, slice]],
+    ):
+        super().__init__(start, stop)
+        self._data_slices = data_slices
+
+    def __eq__(self, other: object) -> bool:
+        return isinstance(other, TwirledSliceSpan) and (
+            self.start == other.start
+            and self.stop == other.stop
+            and self._data_slices == other._data_slices
+        )
+
+    @property
+    def pub_idxs(self) -> list[int]:
+        return sorted(self._data_slices)
+
+    @property
+    def size(self) -> int:
+        size = 0
+        for shape, _, shape_sl, shots_sl in self._data_slices.values():
+            size += len(range(math.prod(shape[:-1]))[shape_sl]) * len(range(shape[-1])[shots_sl])
+        return size
+
+    def mask(self, pub_idx: int) -> npt.NDArray[np.bool_]:
+        twirled_shape, at_front, shape_sl, shots_sl = self._data_slices[pub_idx]
+        mask = np.zeros(twirled_shape, dtype=np.bool_)
+        mask.reshape((np.prod(twirled_shape[:-1]), twirled_shape[-1]))[(shape_sl, shots_sl)] = True
+
+        if at_front:
+            # if the first axis is over twirling samples, push them right before shots
+            ndim = len(twirled_shape)
+            mask = mask.transpose((*range(1, ndim - 1), 0, ndim - 1))
+            twirled_shape = twirled_shape[1:-1] + twirled_shape[:1] + twirled_shape[-1:]
+
+        # merge twirling axis and shots axis before returning
+        return mask.reshape((*twirled_shape[:-2], math.prod(twirled_shape[-2:])))
+
+    def filter_by_pub(self, pub_idx: int | Iterable[int]) -> "TwirledSliceSpan":
+        pub_idx = {pub_idx} if isinstance(pub_idx, int) else set(pub_idx)
+        slices = {idx: val for idx, val in self._data_slices.items() if idx in pub_idx}
+        return TwirledSliceSpan(self.start, self.stop, slices)
diff --git a/qiskit_ibm_runtime/utils/json.py b/qiskit_ibm_runtime/utils/json.py
index 1ceb745cd..f0b85483c 100644
--- a/qiskit_ibm_runtime/utils/json.py
+++ b/qiskit_ibm_runtime/utils/json.py
@@ -79,6 +79,7 @@
     DoubleSliceSpan,
     SliceSpan,
     ExecutionSpans,
+    TwirledSliceSpan,
 )
 
 from .noise_learner_result import NoiseLearnerResult
@@ -341,6 +342,16 @@ def default(self, obj: Any) -> Any:  # pylint: disable=arguments-differ
                 },
             }
             return {"__type__": "DoubleSliceSpan", "__value__": out_val}
+        if isinstance(obj, TwirledSliceSpan):
+            out_val = {
+                "start": obj.start,
+                "stop": obj.stop,
+                "data_slices": {
+                    idx: (shape, at_front, arg_sl.start, arg_sl.stop, shot_sl.start, shot_sl.stop)
+                    for idx, (shape, at_front, arg_sl, shot_sl) in obj._data_slices.items()
+                },
+            }
+            return {"__type__": "TwirledSliceSpan", "__value__": out_val}
         if isinstance(obj, SliceSpan):
             out_val = {
                 "start": obj.start,
@@ -470,6 +481,13 @@ def object_hook(self, obj: Any) -> Any:
                     for idx, (shape, arg0, arg1, shot0, shot1) in obj_val["data_slices"].items()
                 }
                 return DoubleSliceSpan(**obj_val)
+            if obj_type == "TwirledSliceSpan":
+                data_slices = obj_val["data_slices"]
+                obj_val["data_slices"] = {
+                    int(idx): (tuple(shape), at_start, slice(arg0, arg1), slice(shot0, shot1))
+                    for idx, (shape, at_start, arg0, arg1, shot0, shot1) in data_slices.items()
+                }
+                return TwirledSliceSpan(**obj_val)
             if obj_type == "ExecutionSpan":
                 new_slices = {
                     int(idx): (tuple(shape), slice(*sl_args))
diff --git a/release-notes/unreleased/2011.feat.rst b/release-notes/unreleased/2011.feat.rst
new file mode 100644
index 000000000..b1a6f83dc
--- /dev/null
+++ b/release-notes/unreleased/2011.feat.rst
@@ -0,0 +1,4 @@
+Added :class:`.TwirledSliceSpan`, an :class:`ExecutionSpan` to be used when 
+twirling is enabled in the sampler. In particular, it keeps track of an extra shape
+axis corresponding to twirling randomizations, and also whether this axis exists at
+the front of the shape tuple, or right before the shots axis.
\ No newline at end of file
diff --git a/test/unit/test_data_serialization.py b/test/unit/test_data_serialization.py
index 1b12e54b9..8343c54af 100644
--- a/test/unit/test_data_serialization.py
+++ b/test/unit/test_data_serialization.py
@@ -51,6 +51,7 @@
     DoubleSliceSpan,
     SliceSpan,
     ExecutionSpans,
+    TwirledSliceSpan,
 )
 
 from .mock.fake_runtime_client import CustomResultRuntimeJob
@@ -468,6 +469,14 @@ def make_test_primitive_results(self):
                             datetime(2024, 8, 21),
                             {0: ((14,), slice(2, 3), slice(1, 9))},
                         ),
+                        TwirledSliceSpan(
+                            datetime(2024, 9, 20),
+                            datetime(2024, 3, 21),
+                            {
+                                0: ((14, 18, 21), True, slice(2, 3), slice(1, 9)),
+                                2: ((18, 14, 19), False, slice(2, 3), slice(1, 9)),
+                            },
+                        ),
                     ]
                 )
             }
diff --git a/test/unit/test_execution_span.py b/test/unit/test_execution_span.py
index 2f55ddc5a..26911f5f3 100644
--- a/test/unit/test_execution_span.py
+++ b/test/unit/test_execution_span.py
@@ -18,7 +18,12 @@
 
 import numpy as np
 import numpy.testing as npt
-from qiskit_ibm_runtime.execution_span import SliceSpan, DoubleSliceSpan, ExecutionSpans
+from qiskit_ibm_runtime.execution_span import (
+    SliceSpan,
+    DoubleSliceSpan,
+    ExecutionSpans,
+    TwirledSliceSpan,
+)
 
 from ..ibm_test_case import IBMTestCase
 
@@ -222,6 +227,118 @@ def test_filter_by_pub(self):
         )
 
 
+@ddt.ddt
+class TestTwirledSliceSpan(IBMTestCase):
+    """Class for testing TwirledSliceSpan."""
+
+    def setUp(self) -> None:
+        super().setUp()
+        self.start1 = datetime(2024, 10, 11, 4, 31, 30)
+        self.stop1 = datetime(2024, 10, 11, 4, 31, 34)
+        self.slices1 = {
+            2: ((3, 1, 5), True, slice(1), slice(2, 4)),
+            0: ((3, 5, 18, 10), False, slice(10, 13), slice(2, 5)),
+        }
+        self.span1 = TwirledSliceSpan(self.start1, self.stop1, self.slices1)
+
+        self.start2 = datetime(2024, 10, 16, 11, 9, 20)
+        self.stop2 = datetime(2024, 10, 16, 11, 9, 30)
+        self.slices2 = {
+            0: ((7, 5, 100), True, slice(3, 5), slice(20, 40)),
+            1: ((1, 5, 2, 3), False, slice(3, 9), slice(1, 3)),
+        }
+        self.span2 = TwirledSliceSpan(self.start2, self.stop2, self.slices2)
+
+    def test_limits(self):
+        """Test the start and stop properties"""
+        self.assertEqual(self.span1.start, self.start1)
+        self.assertEqual(self.span1.stop, self.stop1)
+        self.assertEqual(self.span2.start, self.start2)
+        self.assertEqual(self.span2.stop, self.stop2)
+
+    def test_equality(self):
+        """Test the equality method."""
+        self.assertEqual(self.span1, self.span1)
+        self.assertEqual(self.span1, TwirledSliceSpan(self.start1, self.stop1, self.slices1))
+        self.assertNotEqual(self.span1, "aoeu")
+        self.assertNotEqual(self.span1, self.span2)
+
+    def test_duration(self):
+        """Test the duration property"""
+        self.assertEqual(self.span1.duration, 4)
+        self.assertEqual(self.span2.duration, 10)
+
+    def test_repr(self):
+        """Test the repr method"""
+        expect = "start='2024-10-11 04:31:30', stop='2024-10-11 04:31:34', size=11"
+        self.assertEqual(repr(self.span1), f"TwirledSliceSpan(<{expect}>)")
+
+    def test_size(self):
+        """Test the size property"""
+        self.assertEqual(self.span1.size, 1 * 2 + 3 * 3)
+        self.assertEqual(self.span2.size, 2 * 20 + 6 * 2)
+
+    def test_pub_idxs(self):
+        """Test the pub_idxs property"""
+        self.assertEqual(self.span1.pub_idxs, [0, 2])
+        self.assertEqual(self.span2.pub_idxs, [0, 1])
+
+    def test_mask(self):
+        """Test the mask() method"""
+        # reminder: ((3, 1, 5), True, slice(1), slice(2, 4))
+        mask1 = np.zeros((3, 1, 5), dtype=bool)
+        mask1.reshape((3, 5))[:1, 2:4] = True
+        mask1 = mask1.transpose((1, 0, 2)).reshape((1, 15))
+        npt.assert_array_equal(self.span1.mask(2), mask1)
+
+        # reminder: ((1, 5, 2, 3), False, slice(3,9), slice(1, 3)),
+        mask2 = [
+            [
+                [[[0, 0, 0], [0, 0, 0]]],
+                [[[0, 0, 0], [0, 1, 1]]],
+                [[[0, 1, 1], [0, 1, 1]]],
+                [[[0, 1, 1], [0, 1, 1]]],
+                [[[0, 1, 1], [0, 0, 0]]],
+            ]
+        ]
+        mask2 = np.array(mask2, dtype=bool).reshape((1, 5, 6))
+        npt.assert_array_equal(self.span2.mask(1), mask2)
+
+    @ddt.data(
+        (0, True, True),
+        ([0, 1], True, True),
+        ([0, 1, 2], True, True),
+        ([1, 2], True, True),
+        ([1], False, True),
+        (2, True, False),
+        ([0, 2], True, True),
+    )
+    @ddt.unpack
+    def test_contains_pub(self, idx, span1_expected_res, span2_expected_res):
+        """The the contains_pub method"""
+        self.assertEqual(self.span1.contains_pub(idx), span1_expected_res)
+        self.assertEqual(self.span2.contains_pub(idx), span2_expected_res)
+
+    def test_filter_by_pub(self):
+        """The the filter_by_pub method"""
+        self.assertEqual(
+            self.span1.filter_by_pub([]), TwirledSliceSpan(self.start1, self.stop1, {})
+        )
+        self.assertEqual(
+            self.span2.filter_by_pub([]), TwirledSliceSpan(self.start2, self.stop2, {})
+        )
+
+        self.assertEqual(
+            self.span1.filter_by_pub([1, 0]),
+            TwirledSliceSpan(self.start1, self.stop1, {0: self.slices1[0]}),
+        )
+
+        self.assertEqual(
+            self.span1.filter_by_pub(2),
+            TwirledSliceSpan(self.start1, self.stop1, {2: self.slices1[2]}),
+        )
+
+
 @ddt.ddt
 class TestExecutionSpans(IBMTestCase):
     """Class for testing ExecutionSpans."""