diff --git a/tests/test_type_conversion.py b/tests/test_type_conversion.py
index 904a686d2e..7934d8f508 100644
--- a/tests/test_type_conversion.py
+++ b/tests/test_type_conversion.py
@@ -1,6 +1,6 @@
 from enum import Enum
 from pathlib import Path
-from typing import Any, List, Optional, Tuple
+from typing import Any, List, Optional, Tuple, Union
 
 import click
 import pytest
@@ -51,6 +51,28 @@ def opt(user: str | None = None):
     assert "User: Camila" in result.output
 
 
+@pytest.mark.parametrize(
+    ("value", "expected"),
+    [("0", "ROOTED!"), ("12", "ID: 12"), ("name", "USER: name")],
+)
+def test_union(value, expected):
+    app = typer.Typer()
+
+    @app.command()
+    def opt(id_or_name: Union[int, str]):
+        if isinstance(id_or_name, int):
+            if id_or_name == 0:
+                print("ROOTED!")
+            else:
+                print(f"ID: {id_or_name}")
+        else:
+            print(f"USER: {id_or_name}")
+
+    result = runner.invoke(app, [value])
+    assert result.exit_code == 0
+    assert expected in result.output
+
+
 def test_optional_tuple():
     app = typer.Typer()
 
diff --git a/typer/main.py b/typer/main.py
index e546e042b7..1bec796f5a 100644
--- a/typer/main.py
+++ b/typer/main.py
@@ -688,6 +688,30 @@ def wrapper(**kwargs: Any) -> Any:
     return wrapper
 
 
+class UnionParamType(click.ParamType):
+    @property
+    def name(self) -> str:  # type: ignore
+        return " | ".join(_type.name for _type in self._types)
+
+    def __init__(self, types: List[click.ParamType]):
+        super().__init__()
+        self._types = types
+
+    def convert(
+        self, value: Any, param: Optional[click.Parameter], ctx: Optional[click.Context]
+    ) -> Any:
+        # *types, last = self._types
+        error_messages = []
+        for _type in self._types:
+            try:
+                return _type.convert(value, param, ctx)
+            except click.BadParameter as e:
+                print(type(e))
+                error_messages.append(str(e))
+        # return last.convert(value, param, ctx)
+        raise self.fail("\n" + "\nbut also\n".join(error_messages), param, ctx)
+
+
 def get_click_type(
     *, annotation: Any, parameter_info: ParameterInfo
 ) -> click.ParamType:
@@ -783,6 +807,12 @@ def get_click_type(
             [item.value for item in annotation],
             case_sensitive=parameter_info.case_sensitive,
         )
+    elif get_origin(annotation) is not None and is_union(get_origin(annotation)):
+        types = [
+            get_click_type(annotation=arg, parameter_info=parameter_info)
+            for arg in get_args(annotation)
+        ]
+        return UnionParamType(types)
     elif is_literal_type(annotation):
         return click.Choice(
             literal_values(annotation),
@@ -838,9 +868,14 @@ def get_click_param(
                 if type_ is NoneType:
                     continue
                 types.append(type_)
-            assert len(types) == 1, "Typer Currently doesn't support Union types"
-            main_type = types[0]
-            origin = get_origin(main_type)
+            if len(types) == 1:
+                (main_type,) = types
+                origin = get_origin(main_type)
+            else:
+                for type_ in get_args(main_type):
+                    assert not get_origin(type_), (
+                        "Union types with complex sub-types are not currently supported"
+                    )
         # Handle Tuples and Lists
         if lenient_issubclass(origin, List):
             main_type = get_args(main_type)[0]