diff --git a/Lib/multiprocessing/shared_memory.py b/Lib/multiprocessing/shared_memory.py
index f92eb012c83160..0a4e867db1af5f 100644
--- a/Lib/multiprocessing/shared_memory.py
+++ b/Lib/multiprocessing/shared_memory.py
@@ -112,10 +112,6 @@ def __init__(self, name=None, create=False, size=0):
             except OSError:
                 self.unlink()
                 raise
-
-            from .resource_tracker import register
-            register(self._name, "shared_memory")
-
         else:
 
             # Windows Named Shared Memory
@@ -234,9 +230,7 @@ def unlink(self):
         called once (and only once) across all processes which have access
         to the shared memory block."""
         if _USE_POSIX and self._name:
-            from .resource_tracker import unregister
             _posixshmem.shm_unlink(self._name)
-            unregister(self._name, "shared_memory")
 
 
 _encoding = "utf8"
diff --git a/Misc/NEWS.d/next/Library/2020-05-16-21-31-41.bpo-39959.1TTyew.rst b/Misc/NEWS.d/next/Library/2020-05-16-21-31-41.bpo-39959.1TTyew.rst
new file mode 100644
index 00000000000000..6476cf7decc852
--- /dev/null
+++ b/Misc/NEWS.d/next/Library/2020-05-16-21-31-41.bpo-39959.1TTyew.rst
@@ -0,0 +1 @@
+Drop use of resource_tracker in "multiprocessing.shared_memory.SharedMemory"
\ No newline at end of file