diff --git a/pandas/io/common.py b/pandas/io/common.py
index 35c3a24d8e8f6..4507a7d08c8ba 100644
--- a/pandas/io/common.py
+++ b/pandas/io/common.py
@@ -361,6 +361,16 @@ def _get_filepath_or_buffer(
             stacklevel=find_stack_level(),
         )
 
+    if "a" in mode and compression_method in ["zip", "tar"]:
+        # GH56778
+        warnings.warn(
+            "zip and tar do not support mode 'a' properly. "
+            "This combination will result in multiple files with same name "
+            "being added to the archive.",
+            RuntimeWarning,
+            stacklevel=find_stack_level(),
+        )
+
     # Use binary mode when converting path-like objects to file-like objects (fsspec)
     # except when text mode is explicitly requested. The original mode is returned if
     # fsspec is not used.
diff --git a/pandas/tests/frame/methods/test_to_csv.py b/pandas/tests/frame/methods/test_to_csv.py
index 5b9ced8d47ed7..f87fa4137d62d 100644
--- a/pandas/tests/frame/methods/test_to_csv.py
+++ b/pandas/tests/frame/methods/test_to_csv.py
@@ -1405,3 +1405,20 @@ def test_to_csv_categorical_and_interval(self):
         expected_rows = [",a", '0,"[2020-01-01 00:00:00, 2020-01-02 00:00:00]"']
         expected = tm.convert_rows_list_to_csv_str(expected_rows)
         assert result == expected
+
+    def test_to_csv_warn_when_zip_tar_and_append_mode(self):
+        # GH57875
+        df = DataFrame({"a": [1, 2, 3]})
+        msg = (
+            "zip and tar do not support mode 'a' properly. This combination will "
+            "result in multiple files with same name being added to the archive"
+        )
+        with tm.assert_produces_warning(
+            RuntimeWarning, match=msg, raise_on_extra_warnings=False
+        ):
+            df.to_csv("test.zip", mode="a")
+
+        with tm.assert_produces_warning(
+            RuntimeWarning, match=msg, raise_on_extra_warnings=False
+        ):
+            df.to_csv("test.tar", mode="a")