diff --git a/CHANGELOG.md b/CHANGELOG.md
index c1a667898e0..d201ed4c301 100644
--- a/CHANGELOG.md
+++ b/CHANGELOG.md
@@ -56,6 +56,7 @@
 - Added support for `Index.all` and `Index.any`.
 - Added support for `Series.dt.is_year_start` and `Series.dt.is_year_end`.
 - Added support for `Series.dt.is_quarter_start` and `Series.dt.is_quarter_end`.
+- Added support for `Series.argmax` and `Series.argmin`.
 
 #### Improvements
 - Removed the public preview warning message upon importing Snowpark pandas.
diff --git a/docs/source/modin/supported/series_supported.rst b/docs/source/modin/supported/series_supported.rst
index 36d0b29a0a4..ea78a3a0e68 100644
--- a/docs/source/modin/supported/series_supported.rst
+++ b/docs/source/modin/supported/series_supported.rst
@@ -94,9 +94,9 @@ Methods
 +-----------------------------+---------------------------------+----------------------------------+----------------------------------------------------+
 | ``apply``                   | P                               | ``convert_dtype`` is ignored     | ``N`` if ``func`` is not callable.                 |
 +-----------------------------+---------------------------------+----------------------------------+----------------------------------------------------+
-| ``argmax``                  | N                               |                                  |                                                    |
+| ``argmax``                  | P                               |                                  | ``N`` if the Series has a MultiIndex index.        |
 +-----------------------------+---------------------------------+----------------------------------+----------------------------------------------------+
-| ``argmin``                  | N                               |                                  |                                                    |
+| ``argmin``                  | P                               |                                  | ``N`` if the Series has a MultiIndex index.        |
 +-----------------------------+---------------------------------+----------------------------------+----------------------------------------------------+
 | ``argsort``                 | N                               |                                  |                                                    |
 +-----------------------------+---------------------------------+----------------------------------+----------------------------------------------------+
diff --git a/src/snowflake/snowpark/modin/pandas/series.py b/src/snowflake/snowpark/modin/pandas/series.py
index daa1c51c488..12dc9d10972 100644
--- a/src/snowflake/snowpark/modin/pandas/series.py
+++ b/src/snowflake/snowpark/modin/pandas/series.py
@@ -781,25 +781,37 @@ def apply(
 
         return self.__constructor__(query_compiler=new_query_compiler)
 
-    @series_not_implemented()
     def argmax(self, axis=None, skipna=True, *args, **kwargs):  # noqa: PR01, RT01, D200
         """
         Return int position of the largest value in the Series.
         """
         # TODO: SNOW-1063347: Modin upgrade - modin.pandas.Series functions
-        result = self.idxmax(axis=axis, skipna=skipna, *args, **kwargs)
-        if np.isnan(result) or result is pandas.NA:
+        if self._query_compiler.has_multiindex():
+            # The index is a MultiIndex, current logic does not support this.
+            ErrorMessage.not_implemented(
+                "Series.argmax is not yet supported when the index is a MultiIndex."
+            )
+        result = self.reset_index(drop=True).idxmax(
+            axis=axis, skipna=skipna, *args, **kwargs
+        )
+        if not is_integer(result):  # if result is None, return -1
             result = -1
         return result
 
-    @series_not_implemented()
     def argmin(self, axis=None, skipna=True, *args, **kwargs):  # noqa: PR01, RT01, D200
         """
         Return int position of the smallest value in the Series.
         """
         # TODO: SNOW-1063347: Modin upgrade - modin.pandas.Series functions
-        result = self.idxmin(axis=axis, skipna=skipna, *args, **kwargs)
-        if np.isnan(result) or result is pandas.NA:
+        if self._query_compiler.has_multiindex():
+            # The index is a MultiIndex, current logic does not support this.
+            ErrorMessage.not_implemented(
+                "Series.argmin is not yet supported when the index is a MultiIndex."
+            )
+        result = self.reset_index(drop=True).idxmin(
+            axis=axis, skipna=skipna, *args, **kwargs
+        )
+        if not is_integer(result):  # if result is None, return -1
             result = -1
         return result
 
diff --git a/tests/integ/modin/series/test_argmax_argmin.py b/tests/integ/modin/series/test_argmax_argmin.py
new file mode 100644
index 00000000000..607b36a27f3
--- /dev/null
+++ b/tests/integ/modin/series/test_argmax_argmin.py
@@ -0,0 +1,52 @@
+#
+# Copyright (c) 2012-2024 Snowflake Computing Inc. All rights reserved.
+#
+
+import modin.pandas as pd
+import pandas as native_pd
+import pytest
+
+import snowflake.snowpark.modin.plugin  # noqa: F401
+from tests.integ.modin.sql_counter import sql_count_checker
+
+
+@sql_count_checker(query_count=1)
+@pytest.mark.parametrize(
+    "data, index",
+    [
+        ([1, None, 4, 3, 4], ["A", "B", "C", "D", "E"]),
+        ([4, None, 1, 3, 4, 1], ["A", "B", "C", "D", "E", "F"]),
+        ([4, None, 1, 3, 4, 1], [None, "B", "C", "D", "E", "F"]),
+        ([1, 10, 4, 3, 4], ["E", "D", "C", "A", "B"]),
+    ],
+)
+@pytest.mark.parametrize("func", ["argmax", "argmin"])
+@pytest.mark.parametrize(
+    "skipna",
+    [True, False],
+)
+def test_argmax_argmin_series(data, index, func, skipna):
+    native_series = native_pd.Series(data=data, index=index)
+    snow_series = pd.Series(native_series)
+
+    native_output = native_series.__getattribute__(func)(skipna=skipna)
+    snow_output = snow_series.__getattribute__(func)(skipna=skipna)
+    assert snow_output == native_output
+
+
+@pytest.mark.parametrize("func", ["argmax", "argmin"])
+@pytest.mark.parametrize("skipna", [True, False])
+@sql_count_checker(query_count=0)
+def test_series_argmax_argmin_with_multiindex_negative(
+    multiindex_native_int_series, func, skipna
+):
+    """
+    Test Series.argmax and Series.argmin with a MultiIndex Series.
+    """
+    native_series = multiindex_native_int_series
+    snow_series = pd.Series(native_series)
+    with pytest.raises(
+        NotImplementedError,
+        match=f"Series.{func} is not yet supported when the index is a MultiIndex.",
+    ):
+        snow_series.__getattribute__(func)(skipna=skipna)
diff --git a/tests/integ/modin/series/test_idxmax_idxmin.py b/tests/integ/modin/series/test_idxmax_idxmin.py
index ff7f74b3369..ea536240a42 100644
--- a/tests/integ/modin/series/test_idxmax_idxmin.py
+++ b/tests/integ/modin/series/test_idxmax_idxmin.py
@@ -48,10 +48,8 @@ def test_series_idxmax_idxmin_with_multiindex(
     multiindex_native_int_series, func, skipna
 ):
     """
-    Test DataFrameGroupBy.idxmax and DataFrameGroupBy.idxmin with a MultiIndex DataFrame.
-    Here, the MultiIndex DataFrames are grouped by `level` and not `by`.
+    Test Series.idxmax and Series.idxmin with a MultiIndex Series.
     """
-    # Create MultiIndex DataFrames.
     native_series = multiindex_native_int_series
     snow_series = pd.Series(native_series)
     with pytest.raises(
diff --git a/tests/integ/modin/test_unimplemented.py b/tests/integ/modin/test_unimplemented.py
index 1e784440b5d..5bfd2bbd05e 100644
--- a/tests/integ/modin/test_unimplemented.py
+++ b/tests/integ/modin/test_unimplemented.py
@@ -154,8 +154,6 @@ def test_unsupported_str_methods(func, func_name, caplog) -> None:
     lambda idx: idx.is_monotonic_decreasing(),
     lambda idx: idx.nbytes(),
     lambda idx: idx.memory_usage(),
-    lambda idx: idx.argmin(),
-    lambda idx: idx.argmax(),
     lambda idx: idx.delete(),
     lambda idx: idx.drop_duplicates(),
     lambda idx: idx.factorize(),