diff --git a/Doc/library/resource.rst b/Doc/library/resource.rst
index 2ed15c13673668..3573da7ea2d716 100644
--- a/Doc/library/resource.rst
+++ b/Doc/library/resource.rst
@@ -76,6 +76,8 @@ this module for those platforms.
    ``setrlimit`` may also raise :exc:`error` if the underlying system call
    fails.
 
+   VxWorks only supports setting :data:`RLIMIT_NOFILE`.
+
 .. function:: prlimit(pid, resource[, limits])
 
    Combines :func:`setrlimit` and :func:`getrlimit` in one function and
diff --git a/Lib/test/test_resource.py b/Lib/test/test_resource.py
index 62c7963fe6999f..e5ece5284cf15b 100644
--- a/Lib/test/test_resource.py
+++ b/Lib/test/test_resource.py
@@ -16,6 +16,8 @@ def test_args(self):
         self.assertRaises(TypeError, resource.setrlimit)
         self.assertRaises(TypeError, resource.setrlimit, 42, 42, 42)
 
+    @unittest.skipIf(sys.platform == "vxworks",
+                     "setting RLIMIT_FSIZE is not supported on VxWorks")
     def test_fsize_ismax(self):
         try:
             (cur, max) = resource.getrlimit(resource.RLIMIT_FSIZE)
@@ -110,6 +112,8 @@ def test_getrusage(self):
             pass
 
     # Issue 6083: Reference counting bug
+    @unittest.skipIf(sys.platform == "vxworks",
+                     "setting RLIMIT_CPU is not supported on VxWorks")
     def test_setrusage_refcount(self):
         try:
             limits = resource.getrlimit(resource.RLIMIT_CPU)
diff --git a/Misc/NEWS.d/next/Tests/2019-04-08-09-24-36.bpo-31904.ab03ea.rst b/Misc/NEWS.d/next/Tests/2019-04-08-09-24-36.bpo-31904.ab03ea.rst
new file mode 100644
index 00000000000000..2b361011abaed6
--- /dev/null
+++ b/Misc/NEWS.d/next/Tests/2019-04-08-09-24-36.bpo-31904.ab03ea.rst
@@ -0,0 +1 @@
+Port test_resource to VxWorks: skip tests cases setting RLIMIT_FSIZE and RLIMIT_CPU.