diff --git a/polars/polars-core/src/chunked_array/ops/sort/arg_sort_multiple.rs b/polars/polars-core/src/chunked_array/ops/sort/arg_sort_multiple.rs
index 3d706383b12c..33dc5c164910 100644
--- a/polars/polars-core/src/chunked_array/ops/sort/arg_sort_multiple.rs
+++ b/polars/polars-core/src/chunked_array/ops/sort/arg_sort_multiple.rs
@@ -91,11 +91,24 @@ pub fn _get_rows_encoded(
     for (by, descending) in by.iter().zip(descending) {
         let arr = _get_rows_encoded_compat_array(by)?;
 
-        cols.push(arr);
-        fields.push(SortField {
+        let sort_field = SortField {
             descending: *descending,
             nulls_last,
-        })
+        };
+        match arr.data_type() {
+            // flatten the struct fields
+            ArrowDataType::Struct(_) => {
+                let arr = arr.as_any().downcast_ref::<StructArray>().unwrap();
+                for arr in arr.values() {
+                    cols.push(arr.clone() as ArrayRef);
+                    fields.push(sort_field.clone())
+                }
+            }
+            _ => {
+                cols.push(arr);
+                fields.push(sort_field)
+            }
+        }
     }
     Ok(convert_columns(&cols, &fields))
 }
diff --git a/polars/polars-core/src/chunked_array/ops/sort/mod.rs b/polars/polars-core/src/chunked_array/ops/sort/mod.rs
index f55e370e0472..b38f8b307e34 100644
--- a/polars/polars-core/src/chunked_array/ops/sort/mod.rs
+++ b/polars/polars-core/src/chunked_array/ops/sort/mod.rs
@@ -714,6 +714,16 @@ pub(crate) fn convert_sort_column_multi_sort(
                 s.cast(&UInt8).unwrap()
             }
         }
+        #[cfg(feature = "dtype-struct")]
+        Struct(_) => {
+            let ca = s.struct_().unwrap();
+            let new_fields = ca
+                .fields()
+                .iter()
+                .map(|s| convert_sort_column_multi_sort(s, row_ordering))
+                .collect::<PolarsResult<Vec<_>>>()?;
+            return StructChunked::new(ca.name(), &new_fields).map(|ca| ca.into_series());
+        }
         _ => {
             let phys = s.to_physical_repr().into_owned();
             polars_ensure!(
diff --git a/polars/polars-core/src/frame/mod.rs b/polars/polars-core/src/frame/mod.rs
index 96769ea7c0c4..1fd7b927d242 100644
--- a/polars/polars-core/src/frame/mod.rs
+++ b/polars/polars-core/src/frame/mod.rs
@@ -1802,6 +1802,15 @@ impl DataFrame {
             return self.top_k_impl(k, descending, by_column, nulls_last);
         }
 
+        #[cfg(feature = "dtype-struct")]
+        let has_struct = by_column
+            .iter()
+            .any(|s| matches!(s.dtype(), DataType::Struct(_)));
+
+        #[cfg(not(feature = "dtype-struct"))]
+        #[allow(non_upper_case_globals)]
+        const has_struct: bool = false;
+
         // a lot of indirection in both sorting and take
         let mut df = self.clone();
         let df = df.as_single_chunk_par();
@@ -1812,8 +1821,8 @@ impl DataFrame {
         // as expressions are not present (they are renamed to _POLARS_SORT_COLUMN_i.
         let first_descending = descending[0];
         let first_by_column = by_column[0].name().to_string();
-        let mut take = match by_column.len() {
-            1 => {
+        let mut take = match (by_column.len(), has_struct) {
+            (1, false) => {
                 let s = &by_column[0];
                 let options = SortOptions {
                     descending: descending[0],
@@ -1834,7 +1843,7 @@ impl DataFrame {
                 s.arg_sort(options)
             }
             _ => {
-                if nulls_last || std::env::var("POLARS_ROW_FMT_SORT").is_ok() {
+                if nulls_last || has_struct || std::env::var("POLARS_ROW_FMT_SORT").is_ok() {
                     argsort_multiple_row_fmt(&by_column, descending, nulls_last, parallel)?
                 } else {
                     let (first, by_column, descending) = prepare_arg_sort(by_column, descending)?;
diff --git a/py-polars/tests/unit/operations/test_sort.py b/py-polars/tests/unit/operations/test_sort.py
index 9480913a37dd..3a07212d5695 100644
--- a/py-polars/tests/unit/operations/test_sort.py
+++ b/py-polars/tests/unit/operations/test_sort.py
@@ -554,3 +554,11 @@ def test_limit_larger_than_sort() -> None:
     assert pl.LazyFrame({"a": [1]}).sort("a").limit(30).collect().to_dict(False) == {
         "a": [1]
     }
+
+
+def test_sort_by_struct() -> None:
+    df = pl.Series([{"a": 300}, {"a": 20}, {"a": 55}]).to_frame("st").with_row_count()
+    assert df.sort("st").to_dict(False) == {
+        "row_nr": [1, 2, 0],
+        "st": [{"a": 20}, {"a": 55}, {"a": 300}],
+    }