diff --git a/docs/typing_syntax.md b/docs/typing_syntax.md
index 3d0e780..6e787a6 100644
--- a/docs/typing_syntax.md
+++ b/docs/typing_syntax.md
@@ -7,7 +7,7 @@ In addition, docstub extends this syntax with several "natural language" express
 
 Docstrings should follow a form that is inspired by the [NumPyDoc style](https://numpydoc.readthedocs.io/en/latest/format.html):
 ```none
-Section namew
+Section name
 ------------
 name : doctype, optional_info
   Description.
diff --git a/src/docstub-stubs/_concurrency.pyi b/src/docstub-stubs/_concurrency.pyi
index 572b649..d660106 100644
--- a/src/docstub-stubs/_concurrency.pyi
+++ b/src/docstub-stubs/_concurrency.pyi
@@ -25,14 +25,14 @@ class LoggingProcessExecutor:
 
     max_workers: int | None = ...
     logging_handlers: tuple[logging.Handler, ...] = ...
-    initializer: Callable | None = ...
+    initializer: Callable[..., None] | None = ...
     initargs: tuple | None = ...
 
     @staticmethod
     def _initialize_worker(
         queue: multiprocessing.Queue,
         worker_log_level: int,
-        initializer: Callable,
+        initializer: Callable[..., None],
         initargs: tuple[Any],
     ) -> None: ...
     def __enter__(self) -> ProcessPoolExecutor | MockPoolExecutor: ...
diff --git a/src/docstub-stubs/_docstrings.pyi b/src/docstub-stubs/_docstrings.pyi
index ea5e0c7..cfcedf5 100644
--- a/src/docstub-stubs/_docstrings.pyi
+++ b/src/docstub-stubs/_docstrings.pyi
@@ -73,6 +73,8 @@ class DoctypeTransformer(lark.visitors.Transformer):
     def rst_role(self, tree: lark.Tree) -> lark.Token: ...
     def union(self, tree: lark.Tree) -> str: ...
     def subscription(self, tree: lark.Tree) -> str: ...
+    def param_spec(self, tree: lark.Tree) -> str: ...
+    def callable(self, tree: lark.Tree) -> str: ...
     def natlang_literal(self, tree: lark.Tree) -> str: ...
     def natlang_container(self, tree: lark.Tree) -> str: ...
     def natlang_array(self, tree: lark.Tree) -> str: ...
diff --git a/src/docstub-stubs/_utils.pyi b/src/docstub-stubs/_utils.pyi
index c29d6a8..47dc35c 100644
--- a/src/docstub-stubs/_utils.pyi
+++ b/src/docstub-stubs/_utils.pyi
@@ -9,7 +9,9 @@ from zlib import crc32
 
 def accumulate_qualname(qualname: str, *, start_right: bool = ...) -> None: ...
 def escape_qualname(name: str) -> str: ...
-def _resolve_path_before_caching(func: Callable) -> Callable: ...
+def _resolve_path_before_caching(
+    func: Callable[[Path], str],
+) -> Callable[[Path], str]: ...
 def module_name_from_path(path: Path) -> str: ...
 def pyfile_checksum(path: Path) -> str: ...
 def update_with_add_values(
diff --git a/src/docstub/_concurrency.py b/src/docstub/_concurrency.py
index 5d20ca3..a2d219b 100644
--- a/src/docstub/_concurrency.py
+++ b/src/docstub/_concurrency.py
@@ -56,7 +56,7 @@ class LoggingProcessExecutor:
 
     max_workers: int | None = None
     logging_handlers: tuple[logging.Handler, ...] = ()
-    initializer: Callable | None = None
+    initializer: Callable[..., None] | None = None
     initargs: tuple | None = ()
 
     @staticmethod
@@ -67,7 +67,7 @@ def _initialize_worker(queue, worker_log_level, initializer, initargs):
         ----------
         queue : multiprocessing.Queue
         worker_log_level : int
-        initializer : Callable
+        initializer : Callable[..., None]
         initargs : tuple of Any
         """
         queue_handler = logging.handlers.QueueHandler(queue)
diff --git a/src/docstub/_docstrings.py b/src/docstub/_docstrings.py
index 48541ae..e8a5ad7 100644
--- a/src/docstub/_docstrings.py
+++ b/src/docstub/_docstrings.py
@@ -384,6 +384,35 @@ def subscription(self, tree):
         out = f"{_container}[{_content}]"
         return out
 
+    def param_spec(self, tree):
+        """
+        Parameters
+        ----------
+        tree : lark.Tree
+
+        Returns
+        -------
+        out : str
+        """
+        _content = ", ".join(tree.children)
+        out = f"[{_content}]"
+        return out
+
+    def callable(self, tree):
+        """
+        Parameters
+        ----------
+        tree : lark.Tree
+
+        Returns
+        -------
+        out : str
+        """
+        _callable, *_content = tree.children
+        _content = ", ".join(_content)
+        out = f"{_callable}[{_content}]"
+        return out
+
     def natlang_literal(self, tree):
         """
         Parameters
diff --git a/src/docstub/_utils.py b/src/docstub/_utils.py
index 297d881..3bd13fa 100644
--- a/src/docstub/_utils.py
+++ b/src/docstub/_utils.py
@@ -71,11 +71,11 @@ def _resolve_path_before_caching(func):
 
     Parameters
     ----------
-    func : Callable
+    func : Callable[[Path], str]
 
     Returns
     -------
-    wrapped : Callable
+    wrapped : Callable[[Path], str]
     """
 
     @wraps(func)
diff --git a/src/docstub/doctype.lark b/src/docstub/doctype.lark
index d114272..904f735 100644
--- a/src/docstub/doctype.lark
+++ b/src/docstub/doctype.lark
@@ -20,6 +20,7 @@
 ?type: qualname
     | union
     | subscription
+    | callable
     | natlang_literal
     | natlang_container
     | natlang_array
@@ -47,6 +48,17 @@ _OR: "or" | "|"
 subscription: qualname "[" type ("," type)* ("," ELLIPSES)? "]"
 
 
+// An expression describing a callable like "Callable[[int], str]"
+// [1] https://typing.python.org/en/latest/spec/callables.html#callable
+//
+callable: qualname "[" ELLIPSES ("," type)? "]"
+    | qualname "[" param_spec "," type "]"
+
+
+// The parameter specification inside a callable expression.
+param_spec: "[" type? ("," type)* ("," ELLIPSES)? "]"
+
+
 // Allow Python's ellipses object
 ELLIPSES: "..."
 
diff --git a/tests/test_docstrings.py b/tests/test_docstrings.py
index b996949..205415f 100644
--- a/tests/test_docstrings.py
+++ b/tests/test_docstrings.py
@@ -154,6 +154,38 @@ def test_subscription_error(self, doctype):
         with pytest.raises(lark.exceptions.UnexpectedInput):
             transformer.doctype_to_annotation(doctype)
 
+    @pytest.mark.parametrize(
+        "doctype",
+        [
+            "Callable[[int], str]",
+            "some_func[[int], str]",
+            "Callable[[int, float, byte], list[str]]",
+            "Callable[..., str]",
+            "Callable[[], str]",
+            "Callback[...]",
+            "Callable[Concatenate[int, float], str]",
+            "Callable[Concatenate[int, ...], str]",
+            "Callable[P, str]",
+        ],
+    )
+    def test_callable(self, doctype):
+        transformer = DoctypeTransformer()
+        annotation, _ = transformer.doctype_to_annotation(doctype)
+        assert annotation.value == doctype
+
+    @pytest.mark.parametrize(
+        "doctype",
+        [
+            "Callable[[...], int]",
+            "Callable[[..., str], int]",
+            "Callable[[float, str], int, byte]",
+        ],
+    )
+    def test_callable_error(self, doctype):
+        transformer = DoctypeTransformer()
+        with pytest.raises(lark.exceptions.UnexpectedInput):
+            transformer.doctype_to_annotation(doctype)
+
     @pytest.mark.parametrize(
         ("doctype", "expected"),
         [