diff --git a/CHANGELOG.md b/CHANGELOG.md
index f902320f..728cdfbd 100644
--- a/CHANGELOG.md
+++ b/CHANGELOG.md
@@ -55,6 +55,7 @@ and this project adheres to [Semantic Versioning](https://semver.org/spec/v2.0.0
 - Only allow each `#[pymodule]` to be initialized once. [#2523](https://github.com/PyO3/pyo3/pull/2523)
 - `pyo3_build_config::add_extension_module_link_args()` now also emits linker arguments for `wasm32-unknown-emscripten`. [#2538](https://github.com/PyO3/pyo3/pull/2538)
 - Downcasting (`PyTryFrom`) behavior has changed for `PySequence` and `PyMapping`: classes are now required to inherit from (or register with) the corresponding Python standard library abstract base class. See the [migration guide](https://pyo3.rs/latest/migration.html) for information on fixing broken downcasts. [#2477](https://github.com/PyO3/pyo3/pull/2477)
+- Disable `PyFunction` on `Py_LIMITED_API` and PyPy. [#2542](https://github.com/PyO3/pyo3/pull/2542)
 
 ### Removed
 
diff --git a/pyo3-ffi/src/funcobject.rs b/pyo3-ffi/src/cpython/funcobject.rs
similarity index 88%
rename from pyo3-ffi/src/funcobject.rs
rename to pyo3-ffi/src/cpython/funcobject.rs
index 6366e363..1d36c85e 100644
--- a/pyo3-ffi/src/funcobject.rs
+++ b/pyo3-ffi/src/cpython/funcobject.rs
@@ -1,8 +1,8 @@
 use std::os::raw::c_int;
 
-use crate::object::{PyObject, PyTypeObject, Py_TYPE};
+use crate::PyObject;
 
-#[cfg(all(not(PyPy), not(Py_LIMITED_API), not(Py_3_10)))]
+#[cfg(all(not(PyPy), not(Py_3_10)))]
 #[repr(C)]
 pub struct PyFunctionObject {
     pub ob_base: PyObject,
@@ -22,7 +22,7 @@ pub struct PyFunctionObject {
     pub vectorcall: Option<crate::vectorcallfunc>,
 }
 
-#[cfg(all(not(PyPy), not(Py_LIMITED_API), Py_3_10))]
+#[cfg(all(not(PyPy), Py_3_10))]
 #[repr(C)]
 pub struct PyFunctionObject {
     pub ob_base: PyObject,
@@ -44,25 +44,24 @@ pub struct PyFunctionObject {
     pub func_version: u32,
 }
 
-#[cfg(all(PyPy, not(Py_LIMITED_API)))]
+#[cfg(PyPy)]
 #[repr(C)]
 pub struct PyFunctionObject {
     pub ob_base: PyObject,
     pub func_name: *mut PyObject,
 }
 
-#[cfg(all(not(PyPy), Py_LIMITED_API))]
-opaque_struct!(PyFunctionObject);
-
 #[cfg_attr(windows, link(name = "pythonXY"))]
 extern "C" {
+    #[cfg(not(PyPy))] // broken, see https://foss.heptapod.net/pypy/pypy/-/issues/3776
     #[cfg_attr(PyPy, link_name = "PyPyFunction_Type")]
-    pub static mut PyFunction_Type: PyTypeObject;
+    pub static mut PyFunction_Type: crate::PyTypeObject;
 }
 
+#[cfg(not(PyPy))]
 #[inline]
 pub unsafe fn PyFunction_Check(op: *mut PyObject) -> c_int {
-    (Py_TYPE(op) == addr_of_mut_shim!(PyFunction_Type)) as c_int
+    (crate::Py_TYPE(op) == addr_of_mut_shim!(PyFunction_Type)) as c_int
 }
 
 extern "C" {
diff --git a/pyo3-ffi/src/cpython/mod.rs b/pyo3-ffi/src/cpython/mod.rs
index 068cedfb..b4623e6e 100644
--- a/pyo3-ffi/src/cpython/mod.rs
+++ b/pyo3-ffi/src/cpython/mod.rs
@@ -12,6 +12,7 @@ pub(crate) mod dictobject;
 // skipped fileobject.h
 // skipped fileutils.h
 pub(crate) mod frameobject;
+pub(crate) mod funcobject;
 pub(crate) mod genobject;
 pub(crate) mod import;
 #[cfg(all(Py_3_8, not(PyPy)))]
@@ -44,6 +45,7 @@ pub use self::descrobject::*;
 #[cfg(not(PyPy))]
 pub use self::dictobject::*;
 pub use self::frameobject::*;
+pub use self::funcobject::*;
 pub use self::genobject::*;
 pub use self::import::*;
 #[cfg(all(Py_3_8, not(PyPy)))]
diff --git a/pyo3-ffi/src/lib.rs b/pyo3-ffi/src/lib.rs
index 1e3ee855..f37b758e 100644
--- a/pyo3-ffi/src/lib.rs
+++ b/pyo3-ffi/src/lib.rs
@@ -299,8 +299,6 @@ pub use self::enumobject::*;
 pub use self::fileobject::*;
 pub use self::fileutils::*;
 pub use self::floatobject::*;
-#[cfg(not(Py_LIMITED_API))]
-pub use self::funcobject::*;
 pub use self::import::*;
 pub use self::intrcheck::*;
 pub use self::iterobject::*;
@@ -368,8 +366,6 @@ mod fileobject;
 mod fileutils;
 mod floatobject;
 // skipped empty frameobject.h
-#[cfg(not(Py_LIMITED_API))]
-pub(crate) mod funcobject;
 // skipped genericaliasobject.h
 mod import;
 // skipped interpreteridobject.h
diff --git a/src/types/function.rs b/src/types/function.rs
index 04438290..e13ba123 100644
--- a/src/types/function.rs
+++ b/src/types/function.rs
@@ -166,7 +166,8 @@ impl PyCFunction {
 
 /// Represents a Python function object.
 #[repr(transparent)]
+#[cfg(not(any(PyPy, Py_LIMITED_API)))]
 pub struct PyFunction(PyAny);
 
-#[cfg(not(Py_LIMITED_API))]
+#[cfg(not(any(PyPy, Py_LIMITED_API)))]
 pyobject_native_type_core!(PyFunction, ffi::PyFunction_Type, #checkfunction=ffi::PyFunction_Check);
diff --git a/src/types/mod.rs b/src/types/mod.rs
index f11e94a6..cebf4f46 100644
--- a/src/types/mod.rs
+++ b/src/types/mod.rs
@@ -20,7 +20,9 @@ pub use self::floatob::PyFloat;
 #[cfg(all(not(Py_LIMITED_API), not(PyPy)))]
 pub use self::frame::PyFrame;
 pub use self::frozenset::PyFrozenSet;
-pub use self::function::{PyCFunction, PyFunction};
+pub use self::function::PyCFunction;
+#[cfg(all(not(Py_LIMITED_API), not(PyPy)))]
+pub use self::function::PyFunction;
 pub use self::iterator::PyIterator;
 pub use self::list::PyList;
 pub use self::mapping::PyMapping;
diff --git a/tests/test_pyfunction.rs b/tests/test_pyfunction.rs
index 20fc67c5..49dba14b 100644
--- a/tests/test_pyfunction.rs
+++ b/tests/test_pyfunction.rs
@@ -3,9 +3,11 @@
 #[cfg(not(Py_LIMITED_API))]
 use pyo3::buffer::PyBuffer;
 use pyo3::prelude::*;
-use pyo3::types::{self, PyCFunction};
 #[cfg(not(Py_LIMITED_API))]
-use pyo3::types::{PyDateTime, PyFunction};
+use pyo3::types::PyDateTime;
+#[cfg(not(any(Py_LIMITED_API, PyPy)))]
+use pyo3::types::PyFunction;
+use pyo3::types::{self, PyCFunction};
 
 mod common;
 
@@ -70,7 +72,7 @@ assert a, array.array("i", [2, 4, 6, 8])
     });
 }
 
-#[cfg(not(Py_LIMITED_API))]
+#[cfg(not(any(Py_LIMITED_API, PyPy)))]
 #[pyfunction]
 fn function_with_pyfunction_arg(fun: &PyFunction) -> PyResult<&PyAny> {
     fun.call((), None)
@@ -96,7 +98,7 @@ fn test_functions_with_function_args() {
         "#
         );
 
-        #[cfg(not(Py_LIMITED_API))]
+        #[cfg(not(any(Py_LIMITED_API, PyPy)))]
         {
             let py_func_arg = wrap_pyfunction!(function_with_pyfunction_arg)(py).unwrap();