diff --git a/Lib/concurrent/futures/process.py b/Lib/concurrent/futures/process.py
index 39fadcc..4c39500 100644
--- a/Lib/concurrent/futures/process.py
+++ b/Lib/concurrent/futures/process.py
@@ -59,19 +59,6 @@
 import sys
 import traceback
 
-# Workers are created as daemon threads and processes. This is done to allow the
-# interpreter to exit when there are still idle processes in a
-# ProcessPoolExecutor's process pool (i.e. shutdown() was not called). However,
-# allowing workers to die with the interpreter has two undesirable properties:
-#   - The workers would still be running during interpreter shutdown,
-#     meaning that they would fail in unpredictable ways.
-#   - The workers could be killed while evaluating a work item, which could
-#     be bad if the callable being evaluated has external side-effects e.g.
-#     writing to a file.
-#
-# To work around this problem, an exit handler is installed which tells the
-# workers to exit when their work queues are empty and then waits until the
-# threads/processes finish.
 
 _threads_wakeups = weakref.WeakKeyDictionary()
 _global_shutdown = False
@@ -107,6 +94,12 @@
     for t, _ in items:
         t.join()
 
+# Register for `_python_exit()` to be called just before joining all
+# non-daemon threads. This is used instead of `atexit.register()` for
+# compatibility with subinterpreters, which no longer support daemon threads.
+# See bpo-39812 for context.
+threading._register_atexit(_python_exit)
+
 # Controls how many more calls than processes will be queued in the call queue.
 # A smaller number will mean that processes spend more time idle waiting for
 # work while a larger number will make Future.cancel() succeed less frequently
@@ -306,9 +299,7 @@
         #     {5: <_WorkItem...>, 6: <_WorkItem...>, ...}
         self.pending_work_items = executor._pending_work_items
 
-        # Set this thread to be daemonized
         super().__init__()
-        self.daemon = True
 
     def run(self):
         # Main loop for the executor manager thread.
@@ -732,5 +723,3 @@
             self._executor_manager_thread_wakeup = None
 
     shutdown.__doc__ = _base.Executor.shutdown.__doc__
-
-atexit.register(_python_exit)
diff --git a/Lib/concurrent/futures/thread.py b/Lib/concurrent/futures/thread.py
index be79161..2aa4e17 100644
--- a/Lib/concurrent/futures/thread.py
+++ b/Lib/concurrent/futures/thread.py
@@ -13,19 +13,6 @@
 import weakref
 import os
 
-# Workers are created as daemon threads. This is done to allow the interpreter
-# to exit when there are still idle threads in a ThreadPoolExecutor's thread
-# pool (i.e. shutdown() was not called). However, allowing workers to die with
-# the interpreter has two undesirable properties:
-#   - The workers would still be running during interpreter shutdown,
-#     meaning that they would fail in unpredictable ways.
-#   - The workers could be killed while evaluating a work item, which could
-#     be bad if the callable being evaluated has external side-effects e.g.
-#     writing to a file.
-#
-# To work around this problem, an exit handler is installed which tells the
-# workers to exit when their work queues are empty and then waits until the
-# threads finish.
 
 _threads_queues = weakref.WeakKeyDictionary()
 _shutdown = False
@@ -43,7 +30,11 @@
     for t, q in items:
         t.join()
 
-atexit.register(_python_exit)
+# Register for `_python_exit()` to be called just before joining all
+# non-daemon threads. This is used instead of `atexit.register()` for
+# compatibility with subinterpreters, which no longer support daemon threads.
+# See bpo-39812 for context.
+threading._register_atexit(_python_exit)
 
 
 class _WorkItem(object):
@@ -197,7 +188,6 @@
                                        self._work_queue,
                                        self._initializer,
                                        self._initargs))
-            t.daemon = True
             t.start()
             self._threads.add(t)
             _threads_queues[t] = self._work_queue