diff --git a/bigframes/bigquery/__init__.py b/bigframes/bigquery/__init__.py
index 303120b88a..28a818e709 100644
--- a/bigframes/bigquery/__init__.py
+++ b/bigframes/bigquery/__init__.py
@@ -272,6 +272,46 @@ def json_extract_array(
     return series._apply_unary_op(ops.JSONExtractArray(json_path=json_path))
 
 
+# Approximate aggrgate functions defined from
+# https://cloud.google.com/bigquery/docs/reference/standard-sql/approximate_aggregate_functions
+
+
+def approx_top_count(
+    series: series.Series,
+    number: int,
+) -> series.Series:
+    """Returns the approximate top elements of `expression` as an array of STRUCTs.
+    The number parameter specifies the number of elements returned.
+
+    Each `STRUCT` contains two fields. The first field (named `value`) contains an input
+    value. The second field (named `count`) contains an `INT64` specifying the number
+    of times the value was returned.
+
+    Returns `NULL` if there are zero input rows.
+
+    **Examples:**
+
+        >>> import bigframes.pandas as bpd
+        >>> import bigframes.bigquery as bbq
+        >>> bpd.options.display.progress_bar = None
+        >>> s = bpd.Series(["apple", "apple", "pear", "pear", "pear", "banana"])
+        >>> bbq.approx_top_count(s, number=2)
+        [{'value': 'pear', 'count': 3}, {'value': 'apple', 'count': 2}]
+
+    Args:
+        series (bigframes.series.Series):
+            The Series with any data type that the `GROUP BY` clause supports.
+        number (int):
+            An integer specifying the number of times the value was returned.
+
+    Returns:
+        bigframes.series.Series: A new Series with the result data.
+    """
+    if number < 1:
+        raise ValueError("The number of approx_top_count must be at least 1")
+    return series._apply_aggregation(agg_ops.ApproxTopCountOp(number=number))
+
+
 def struct(value: dataframe.DataFrame) -> series.Series:
     """Takes a DataFrame and converts it into a Series of structs with each
     struct entry corresponding to a DataFrame row and each struct field
diff --git a/bigframes/core/compile/aggregate_compiler.py b/bigframes/core/compile/aggregate_compiler.py
index 91a3045efb..b65953934d 100644
--- a/bigframes/core/compile/aggregate_compiler.py
+++ b/bigframes/core/compile/aggregate_compiler.py
@@ -11,6 +11,9 @@
 # WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
 # See the License for the specific language governing permissions and
 # limitations under the License.
+
+from __future__ import annotations
+
 import functools
 import typing
 from typing import cast, List, Optional
@@ -19,6 +22,7 @@
 import bigframes_vendored.ibis.expr.operations as vendored_ibis_ops
 import ibis
 import ibis.expr.datatypes as ibis_dtypes
+import ibis.expr.operations as ibis_ops
 import ibis.expr.types as ibis_types
 import pandas as pd
 
@@ -196,6 +200,34 @@ def _(
     return cast(ibis_types.NumericValue, value)
 
 
+@compile_unary_agg.register
+def _(
+    op: agg_ops.ApproxTopCountOp,
+    column: ibis_types.Column,
+    window=None,
+) -> ibis_types.ArrayColumn:
+    # APPROX_TOP_COUNT has very few allowed windows.
+    if window is not None:
+        raise NotImplementedError(
+            f"Approx top count with windowing is not supported. {constants.FEEDBACK_LINK}"
+        )
+
+    # Define a user-defined function (UDF) that approximates the top counts of an expression.
+    # The type of value is dynamically matching the input column.
+    def approx_top_count(expression, number: ibis_dtypes.int64):  # type: ignore
+        ...
+
+    return_type = ibis_dtypes.Array(
+        ibis_dtypes.Struct.from_tuples(
+            [("value", column.type()), ("count", ibis_dtypes.int64)]
+        )
+    )
+    approx_top_count.__annotations__["return"] = return_type
+    udf_op = ibis_ops.udf.agg.builtin(approx_top_count)
+
+    return udf_op(expression=column, number=op.number)
+
+
 @compile_unary_agg.register
 @numeric_op
 def _(
diff --git a/bigframes/operations/aggregations.py b/bigframes/operations/aggregations.py
index d071889ac4..faba7465d9 100644
--- a/bigframes/operations/aggregations.py
+++ b/bigframes/operations/aggregations.py
@@ -184,6 +184,23 @@ def output_type(self, *input_types: dtypes.ExpressionType) -> dtypes.ExpressionT
             return input_types[0]
 
 
+@dataclasses.dataclass(frozen=True)
+class ApproxTopCountOp(UnaryAggregateOp):
+    name: typing.ClassVar[str] = "approx_top_count"
+    number: int
+
+    def output_type(self, *input_types: dtypes.ExpressionType) -> dtypes.ExpressionType:
+        if not dtypes.is_orderable(input_types[0]):
+            raise TypeError(f"Type {input_types[0]} is not orderable")
+
+        input_type = input_types[0]
+        fields = [
+            pa.field("value", dtypes.bigframes_dtype_to_arrow_dtype(input_type)),
+            pa.field("count", pa.int64()),
+        ]
+        return pd.ArrowDtype(pa.list_(pa.struct(fields)))
+
+
 @dataclasses.dataclass(frozen=True)
 class MeanOp(UnaryAggregateOp):
     name: ClassVar[str] = "mean"
diff --git a/tests/system/small/bigquery/test_approx_agg.py b/tests/system/small/bigquery/test_approx_agg.py
new file mode 100644
index 0000000000..c88f5850f8
--- /dev/null
+++ b/tests/system/small/bigquery/test_approx_agg.py
@@ -0,0 +1,76 @@
+# Copyright 2024 Google LLC
+#
+# Licensed under the Apache License, Version 2.0 (the "License");
+# you may not use this file except in compliance with the License.
+# You may obtain a copy of the License at
+#
+#     http://www.apache.org/licenses/LICENSE-2.0
+#
+# Unless required by applicable law or agreed to in writing, software
+# distributed under the License is distributed on an "AS IS" BASIS,
+# WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+# See the License for the specific language governing permissions and
+# limitations under the License.
+
+import pytest
+
+import bigframes.bigquery as bbq
+import bigframes.pandas as bpd
+
+
+@pytest.mark.parametrize(
+    ("data", "expected"),
+    [
+        pytest.param(
+            [1, 2, 3, 3, 2], [{"value": 3, "count": 2}, {"value": 2, "count": 2}]
+        ),
+        pytest.param(
+            ["apple", "apple", "pear", "pear", "pear", "banana"],
+            [{"value": "pear", "count": 3}, {"value": "apple", "count": 2}],
+        ),
+        pytest.param(
+            [True, False, True, False, True],
+            [{"value": True, "count": 3}, {"value": False, "count": 2}],
+        ),
+        pytest.param(
+            [],
+            [],
+        ),
+        pytest.param(
+            [[1, 2], [1], [1, 2]],
+            [],
+            marks=pytest.mark.xfail(raises=TypeError),
+        ),
+    ],
+    ids=["int64", "string", "bool", "null", "array"],
+)
+def test_approx_top_count_w_dtypes(data, expected):
+    s = bpd.Series(data)
+    result = bbq.approx_top_count(s, number=2)
+    assert result == expected
+
+
+@pytest.mark.parametrize(
+    ("number", "expected"),
+    [
+        pytest.param(
+            0,
+            [],
+            marks=pytest.mark.xfail(raises=ValueError),
+        ),
+        pytest.param(1, [{"value": 3, "count": 2}]),
+        pytest.param(
+            4,
+            [
+                {"value": 3, "count": 2},
+                {"value": 2, "count": 2},
+                {"value": 1, "count": 1},
+            ],
+        ),
+    ],
+    ids=["zero", "one", "full"],
+)
+def test_approx_top_count_w_numbers(number, expected):
+    s = bpd.Series([1, 2, 3, 3, 2])
+    result = bbq.approx_top_count(s, number=number)
+    assert result == expected