diff --git a/Doc/library/resource.rst b/Doc/library/resource.rst
@@ -57,6 +57,16 @@ this module for those platforms.
       Previously, it could be negative, such as -1 or -3.
 
 
+.. data:: RLIM_SAVED_CUR
+.. data:: RLIM_SAVED_MAX
+
+   Constants used to represent the soft and hard limit values if they
+   cannot be represented in the ``rlim_t`` value in C.
+   Can be equal to :data:`RLIM_INFINITY`.
+
+   .. versionadded:: next
+
+
 .. function:: getrlimit(resource)
 
    Returns a tuple ``(soft, hard)`` with the current soft and hard limits of
@@ -181,8 +191,9 @@ platform.
 .. data:: RLIMIT_VMEM
 
    The largest area of mapped memory which the process may occupy.
+   Usually an alias of :const:`RLIMIT_AS`.
 
-   .. availability:: FreeBSD >= 11.
+   .. availability:: Solaris, FreeBSD, NetBSD.
 
 
 .. data:: RLIMIT_AS
@@ -235,16 +246,18 @@ platform.
 
    .. versionadded:: 3.4
 
+
 .. data:: RLIMIT_SBSIZE
 
    The maximum size (in bytes) of socket buffer usage for this user.
    This limits the amount of network memory, and hence the amount of mbufs,
    that this user may hold at any time.
 
-   .. availability:: FreeBSD.
+   .. availability:: FreeBSD, NetBSD.
 
    .. versionadded:: 3.4
 
+
 .. data:: RLIMIT_SWAP
 
    The maximum size (in bytes) of the swap space that may be reserved or
@@ -254,18 +267,20 @@ platform.
    `tuning(7) <https://man.freebsd.org/cgi/man.cgi?query=tuning&sektion=7>`__
    for a complete description of this sysctl.
 
-   .. availability:: FreeBSD.
+   .. availability:: FreeBSD >= 8.
 
    .. versionadded:: 3.4
 
+
 .. data:: RLIMIT_NPTS
 
    The maximum number of pseudo-terminals created by this user id.
 
-   .. availability:: FreeBSD.
+   .. availability:: FreeBSD >= 8.
 
    .. versionadded:: 3.4
 
+
 .. data:: RLIMIT_KQUEUES
 
    The maximum number of kqueues this user id is allowed to create.
@@ -274,6 +289,46 @@ platform.
 
    .. versionadded:: 3.10
 
+
+.. data:: RLIMIT_NTHR
+
+   The maximum number of threads for this user id, not counting the main
+   and kernel threads.
+
+   .. availability:: NetBSD >= 7.0.
+
+   .. versionadded:: next
+
+
+.. data:: RLIMIT_PIPEBUF
+
+   The maximum total size of in-kernel buffers for bi-directional pipes/fifos
+   that this user id is allowed to consume.
+
+   .. availability:: FreeBSD >= 14.2.
+
+   .. versionadded:: next
+
+
+.. data:: RLIMIT_THREADS
+
+   The maximum number of threads each process can create.
+
+   .. availability:: AIX.
+
+   .. versionadded:: next
+
+
+.. data:: RLIMIT_UMTXP
+
+   The limit of the number of process-shared Posix thread library objects
+   allocated by user id.
+
+   .. availability:: FreeBSD >= 11.
+
+   .. versionadded:: next
+
+
 Resource Usage
 --------------
 

@@ -312,6 +312,15 @@ os.path
   the resulting path can be missing but it will be free of symlinks.
   (Contributed by Petr Viktorin for :cve:`2025-4517`.)
 
+resource
+--------
+
+* Add new constants: :data:`~resource.RLIMIT_NTHR`,
+  :data:`~resource.RLIMIT_UMTXP`, :data:`~resource.RLIMIT_THREADS`,
+  :data:`~resource.RLIM_SAVED_CUR`, and :data:`~resource.RLIM_SAVED_MAX`.
+  (Contributed by Serhiy Storchaka in :gh:`137512`.)
+
+
 shelve
 ------
 

diff --git a/Lib/test/test_resource.py b/Lib/test/test_resource.py
@@ -200,14 +200,23 @@ def test_pagesize(self):
         self.assertIsInstance(pagesize, int)
         self.assertGreaterEqual(pagesize, 0)
 
+    def test_contants(self):
+        self.assertIsInstance(resource.RLIM_INFINITY, int)
+        if sys.platform.startswith(('freebsd', 'solaris', 'sunos', 'aix')):
+            self.assertHasAttr(resource, 'RLIM_SAVED_CUR')
+            self.assertHasAttr(resource, 'RLIM_SAVED_MAX')
+        if hasattr(resource, 'RLIM_SAVED_CUR'):
+            self.assertIsInstance(resource.RLIM_SAVED_CUR, int)
+            self.assertIsInstance(resource.RLIM_SAVED_MAX, int)
+
     @unittest.skipUnless(sys.platform in ('linux', 'android'), 'Linux only')
     def test_linux_constants(self):
         for attr in ['MSGQUEUE', 'NICE', 'RTPRIO', 'RTTIME', 'SIGPENDING']:
             with contextlib.suppress(AttributeError):
                 self.assertIsInstance(getattr(resource, 'RLIMIT_' + attr), int)
 
     def test_freebsd_contants(self):
-        for attr in ['SWAP', 'SBSIZE', 'NPTS']:
+        for attr in ['SWAP', 'SBSIZE', 'NPTS', 'UMTXP', 'VMEM', 'PIPEBUF']:
             with contextlib.suppress(AttributeError):
                 self.assertIsInstance(getattr(resource, 'RLIMIT_' + attr), int)
 

diff --git a/Misc/NEWS.d/next/Library/2025-08-07-15-07-44.gh-issue-137512.j2or5h.rst b/Misc/NEWS.d/next/Library/2025-08-07-15-07-44.gh-issue-137512.j2or5h.rst
@@ -0,0 +1,4 @@
+Add new constants in the :mod:`resource` module:
+:data:`~resource.RLIMIT_NTHR`, :data:`~resource.RLIMIT_UMTXP`,
+:data:`~resource.RLIMIT_PIPEBUF`, :data:`~resource.RLIMIT_THREADS`,
+:data:`~resource.RLIM_SAVED_CUR`, and :data:`~resource.RLIM_SAVED_MAX`.
diff --git a/Modules/resource.c b/Modules/resource.c
@@ -522,9 +522,38 @@ resource_exec(PyObject *module)
     ADD_INT(module, RLIMIT_KQUEUES);
 #endif
 
+#ifdef RLIMIT_NTHR
+    ADD_INT(module, RLIMIT_NTHR);
+#endif
+
+#ifdef RLIMIT_THREADS
+    ADD_INT(module, RLIMIT_THREADS);
+#endif
+
+#ifdef RLIMIT_UMTXP
+    ADD_INT(module, RLIMIT_UMTXP);
+#endif
+
+#ifdef RLIMIT_PIPEBUF
+    ADD_INT(module, RLIMIT_PIPEBUF);
+#endif
+
     if (PyModule_Add(module, "RLIM_INFINITY", rlim2py(RLIM_INFINITY)) < 0) {
         return -1;
     }
+
+#ifdef RLIM_SAVED_CUR
+    if (PyModule_Add(module, "RLIM_SAVED_CUR", rlim2py(RLIM_SAVED_CUR)) < 0) {
+        return -1;
+    }
+#endif
+
+#ifdef RLIM_SAVED_MAX
+    if (PyModule_Add(module, "RLIM_SAVED_MAX", rlim2py(RLIM_SAVED_MAX)) < 0) {
+        return -1;
+    }
+#endif
+
     return 0;
 
 #undef ADD_INT