diff --git a/narwhals/functions.py b/narwhals/functions.py
index d07693b33..02a551775 100644
--- a/narwhals/functions.py
+++ b/narwhals/functions.py
@@ -12,10 +12,14 @@
 
 
 def concat(
-    items: Iterable[DataFrame | LazyFrame], *, how: Literal["horizontal"]
+    items: Iterable[DataFrame | LazyFrame],
+    *,
+    how: Literal["horizontal", "vertical"] = "vertical",
 ) -> DataFrame | LazyFrame:
-    if how != "horizontal":
-        raise NotImplementedError("Only horizontal concatenation is supported")
+    if how not in ("horizontal", "vertical"):
+        raise NotImplementedError(
+            "Only horizontal and vertical concatenations are supported"
+        )
     if not items:
         raise ValueError("No items to concatenate")
     items = list(items)
diff --git a/narwhals/pandas_like/namespace.py b/narwhals/pandas_like/namespace.py
index 594592769..8cc7e40b5 100644
--- a/narwhals/pandas_like/namespace.py
+++ b/narwhals/pandas_like/namespace.py
@@ -13,6 +13,7 @@
 from narwhals.pandas_like.utils import horizontal_concat
 from narwhals.pandas_like.utils import parse_into_exprs
 from narwhals.pandas_like.utils import series_from_iterable
+from narwhals.pandas_like.utils import vertical_concat
 from narwhals.utils import flatten_str
 
 if TYPE_CHECKING:
@@ -186,10 +187,14 @@ def concat(
         if len(kind) > 1:
             msg = "Can only concat DataFrames or LazyFrames, not mixtures of the two"
             raise TypeError(msg)
-        if how != "horizontal":
-            msg = "Only horizontal concatenation is supported for now"
-            raise TypeError(msg)
-        return PandasDataFrame(
-            horizontal_concat(dfs, implementation=self._implementation),
-            implementation=self._implementation,
-        )
+        if how == "horizontal":
+            return PandasDataFrame(
+                horizontal_concat(dfs, implementation=self._implementation),
+                implementation=self._implementation,
+            )
+        if how == "vertical":
+            return PandasDataFrame(
+                vertical_concat(dfs, implementation=self._implementation),
+                implementation=self._implementation,
+            )
+        raise NotImplementedError
diff --git a/narwhals/pandas_like/utils.py b/narwhals/pandas_like/utils.py
index 6c2c507b7..f0f37440e 100644
--- a/narwhals/pandas_like/utils.py
+++ b/narwhals/pandas_like/utils.py
@@ -255,7 +255,7 @@ def evaluate_simple_aggregation(expr: PandasExpr, grouped: Any, keys: list[str])
 
 def horizontal_concat(dfs: list[Any], implementation: str) -> Any:
     """
-    Concatenate (native) DataFrames.
+    Concatenate (native) DataFrames horizontally.
 
     Should be in namespace.
     """
@@ -275,6 +275,37 @@ def horizontal_concat(dfs: list[Any], implementation: str) -> Any:
     raise TypeError(msg)
 
 
+def vertical_concat(dfs: list[Any], implementation: str) -> Any:
+    """
+    Concatenate (native) DataFrames vertically.
+
+    Should be in namespace.
+    """
+    if not dfs:
+        msg = "No dataframes to concatenate"
+        raise TypeError(msg)
+    cols = set(dfs[0].columns)
+    for df in dfs:
+        cols_current = set(df.columns)
+        if cols_current != cols:
+            msg = "Unable to vstack, column names don't match"
+            raise TypeError(msg)
+    if implementation == "pandas":
+        import pandas as pd
+
+        return pd.concat(dfs, axis=0, copy=False)
+    if implementation == "cudf":
+        import cudf
+
+        return cudf.concat(dfs, axis=0)
+    if implementation == "modin":
+        import modin.pandas as mpd
+
+        return mpd.concat(dfs, axis=0)
+    msg = f"Unknown implementation: {implementation}"
+    raise TypeError(msg)
+
+
 def dataframe_from_dict(data: dict[str, Any], implementation: str) -> Any:
     """Return native dataframe."""
     if implementation == "pandas":
diff --git a/tests/test_common.py b/tests/test_common.py
index 02d77cb77..a029a722d 100644
--- a/tests/test_common.py
+++ b/tests/test_common.py
@@ -17,6 +17,8 @@
 df_lazy = pl.LazyFrame({"a": [1, 3, 2], "b": [4, 4, 6], "z": [7.0, 8, 9]})
 df_pandas_na = pd.DataFrame({"a": [None, 3, 2], "b": [4, 4, 6], "z": [7.0, None, 9]})
 df_lazy_na = pl.LazyFrame({"a": [None, 3, 2], "b": [4, 4, 6], "z": [7.0, None, 9]})
+df_right_pandas = pd.DataFrame({"c": [6, 12, -1], "d": [0, -4, 2]})
+df_right_lazy = pl.LazyFrame({"c": [6, 12, -1], "d": [0, -4, 2]})
 
 if os.environ.get("CI", None):
     import modin.pandas as mpd
@@ -365,3 +367,33 @@ def test_drop_nulls(df_raw: Any) -> None:
     result = nw.to_native(df.select(nw.col("a").drop_nulls()))
     expected = {"a": [3, 2]}
     compare_dicts(result, expected)
+
+
+@pytest.mark.parametrize(
+    ("df_raw", "df_raw_right"), [(df_pandas, df_right_pandas), (df_lazy, df_right_lazy)]
+)
+def test_concat_horizontal(df_raw: Any, df_raw_right: Any) -> None:
+    df_left = nw.LazyFrame(df_raw)
+    df_right = nw.LazyFrame(df_raw_right)
+    result = nw.concat([df_left, df_right], how="horizontal")
+    result_native = nw.to_native(result)
+    expected = {
+        "a": [1, 3, 2],
+        "b": [4, 4, 6],
+        "z": [7.0, 8, 9],
+        "c": [6, 12, -1],
+        "d": [0, -4, 2],
+    }
+    compare_dicts(result_native, expected)
+
+
+@pytest.mark.parametrize(
+    ("df_raw", "df_raw_right"), [(df_pandas, df_right_pandas), (df_lazy, df_right_lazy)]
+)
+def test_concat_vertical(df_raw: Any, df_raw_right: Any) -> None:
+    df_left = nw.LazyFrame(df_raw).rename({"a": "c", "b": "d"}).drop("z")
+    df_right = nw.LazyFrame(df_raw_right)
+    result = nw.concat([df_left, df_right], how="vertical")
+    result_native = nw.to_native(result)
+    expected = {"c": [1, 3, 2, 6, 12, -1], "d": [4, 4, 6, 0, -4, 2]}
+    compare_dicts(result_native, expected)