diff --git a/Doc/api/api.tex b/Doc/api/api.tex
index 3f3b65f2bcf..e38e0b550f3 100644
--- a/Doc/api/api.tex
+++ b/Doc/api/api.tex
@@ -4650,7 +4650,37 @@ implementing new object types in C.
 \begin{cfuncdesc}{void}{PyObject_DEL}{PyObject *op}
 \end{cfuncdesc}
 
-Py_InitModule (!!!)
+\begin{cfuncdesc}{PyObject*}{Py_InitModule}{char *name,
+                                            PyMethodDef *methods}
+  Create a new module object based on a name and table of functions,
+  returning the new module object.
+\end{cfuncdesc}
+
+\begin{cfuncdesc}{PyObject*}{Py_InitModule3}{char *name,
+                                             PyMethodDef *methods,
+                                             char *doc}
+  Create a new module object based on a name and table of functions,
+  returning the new module object.  If \var{doc} is non-\NULL, it will
+  be used to define the docstring for the module.
+\end{cfuncdesc}
+
+\begin{cfuncdesc}{PyObject*}{Py_InitModule4}{char *name,
+                                             PyMethodDef *methods,
+                                             char *doc, PyObject *self,
+                                             int apiver}
+  Create a new module object based on a name and table of functions,
+  returning the new module object.  If \var{doc} is non-\NULL, it will
+  be used to define the docstring for the module.  If \var{self} is
+  non-\NULL, it will passed to the functions of the module as their
+  (otherwise \NULL) first parameter.  (This was added as an
+  experimental feature, and there are no known uses in the current
+  version of Python.)  For \var{apiver}, the only value which should
+  be passed is defined by the constant \constant{PYTHON_API_VERSION}.
+
+  \strong{Note:}  Most uses of this function should probably be using
+  the \cfunction{Py_InitModule3()} instead; only use this if you are
+  sure you need it.
+\end{cfuncdesc}
 
 PyArg_ParseTupleAndKeywords, PyArg_ParseTuple, PyArg_Parse
 
diff --git a/Doc/api/refcounts.dat b/Doc/api/refcounts.dat
index 8021151de79..aace6950bb6 100644
--- a/Doc/api/refcounts.dat
+++ b/Doc/api/refcounts.dat
@@ -274,6 +274,22 @@ PyFloat_Check:PyObject*:p:0:
 PyFloat_FromDouble:PyObject*::+1:
 PyFloat_FromDouble:double:v::
 
+Py_InitModule:PyObject*::0:
+Py_InitModule:name:char*::
+Py_InitModule:methods:PyMethodDef[]::
+
+Py_InitModule3:PyObject*::0:
+Py_InitModule3:name:char*::
+Py_InitModule3:methods:PyMethodDef[]::
+Py_InitModule3:doc:char*::
+
+Py_InitModule4:PyObject*::0:
+Py_InitModule4:name:char*::
+Py_InitModule4:methods:PyMethodDef[]::
+Py_InitModule4:doc:char*::
+Py_InitModule4:self:PyObject*::
+Py_InitModule4:apiver:int::usually provided by Py_InitModule or Py_InitModule3
+
 PyImport_AddModule:PyObject*::0:reference borrowed from sys.modules
 PyImport_AddModule:char*:name::