diff --git a/Doc/library/select.rst b/Doc/library/select.rst
index 61f3835..e6f95fd 100644
--- a/Doc/library/select.rst
+++ b/Doc/library/select.rst
@@ -454,6 +454,12 @@
    - max_events must be 0 or a positive integer
    - timeout in seconds (floats possible)
 
+   .. versionchanged:: 3.5
+      The function is now retried with a recomputed timeout when interrupted by
+      a signal, except if the signal handler raises an exception (see
+      :pep:`475` for the rationale), instead of raising
+      :exc:`InterruptedError`.
+
 
 .. _kevent-objects:
 
diff --git a/Doc/whatsnew/3.5.rst b/Doc/whatsnew/3.5.rst
index 6c2d521..e5fefae 100644
--- a/Doc/whatsnew/3.5.rst
+++ b/Doc/whatsnew/3.5.rst
@@ -621,7 +621,8 @@
 
   - :func:`os.open`, :func:`open`
   - :func:`os.read`, :func:`os.write`
-  - :func:`select.select`, :func:`select.poll.poll`, :func:`select.epoll.poll`
+  - :func:`select.select`, :func:`select.poll.poll`, :func:`select.epoll.poll`,
+    :func:`select.kqueue.control`
   - :func:`time.sleep`
 
 * Before Python 3.5, a :class:`datetime.time` object was considered to be false
diff --git a/Lib/selectors.py b/Lib/selectors.py
index 2a0a44c..a3f2e78 100644
--- a/Lib/selectors.py
+++ b/Lib/selectors.py
@@ -549,11 +549,9 @@
         def select(self, timeout=None):
             timeout = None if timeout is None else max(timeout, 0)
             max_ev = len(self._fd_to_key)
+            kev_list = self._kqueue.control(None, max_ev, timeout)
+
             ready = []
-            try:
-                kev_list = self._kqueue.control(None, max_ev, timeout)
-            except InterruptedError:
-                return ready
             for kev in kev_list:
                 fd = kev.ident
                 flag = kev.filter
diff --git a/Lib/test/eintrdata/eintr_tester.py b/Lib/test/eintrdata/eintr_tester.py
index 0df9762..4e9b992 100644
--- a/Lib/test/eintrdata/eintr_tester.py
+++ b/Lib/test/eintrdata/eintr_tester.py
@@ -315,8 +315,8 @@
     def test_select(self):
         t0 = time.monotonic()
         select.select([], [], [], self.sleep_time)
-        self.stop_alarm()
         dt = time.monotonic() - t0
+        self.stop_alarm()
         self.assertGreaterEqual(dt, self.sleep_time)
 
     @unittest.skipUnless(hasattr(select, 'poll'), 'need select.poll')
@@ -325,8 +325,8 @@
 
         t0 = time.monotonic()
         poller.poll(self.sleep_time * 1e3)
-        self.stop_alarm()
         dt = time.monotonic() - t0
+        self.stop_alarm()
         self.assertGreaterEqual(dt, self.sleep_time)
 
     @unittest.skipUnless(hasattr(select, 'epoll'), 'need select.epoll')
@@ -336,8 +336,19 @@
 
         t0 = time.monotonic()
         poller.poll(self.sleep_time)
-        self.stop_alarm()
         dt = time.monotonic() - t0
+        self.stop_alarm()
+        self.assertGreaterEqual(dt, self.sleep_time)
+
+    @unittest.skipUnless(hasattr(select, 'kqueue'), 'need select.kqueue')
+    def test_kqueue(self):
+        kqueue = select.kqueue()
+        self.addCleanup(kqueue.close)
+
+        t0 = time.monotonic()
+        kqueue.control(None, 1, self.sleep_time)
+        dt = time.monotonic() - t0
+        self.stop_alarm()
         self.assertGreaterEqual(dt, self.sleep_time)
 
 
diff --git a/Modules/selectmodule.c b/Modules/selectmodule.c
index 96be5ba..452525d 100644
--- a/Modules/selectmodule.c
+++ b/Modules/selectmodule.c
@@ -2083,8 +2083,9 @@
     PyObject *result = NULL;
     struct kevent *evl = NULL;
     struct kevent *chl = NULL;
-    struct timespec timeout;
+    struct timespec timeoutspec;
     struct timespec *ptimeoutspec;
+    _PyTime_t timeout, deadline = 0;
 
     if (self->kqfd < 0)
         return kqueue_queue_err_closed();
@@ -2103,9 +2104,7 @@
         ptimeoutspec = NULL;
     }
     else {
-        _PyTime_t ts;
-
-        if (_PyTime_FromSecondsObject(&ts,
+        if (_PyTime_FromSecondsObject(&timeout,
                                       otimeout, _PyTime_ROUND_CEILING) < 0) {
             PyErr_Format(PyExc_TypeError,
                 "timeout argument must be an number "
@@ -2114,15 +2113,15 @@
             return NULL;
         }
 
-        if (_PyTime_AsTimespec(ts, &timeout) == -1)
+        if (_PyTime_AsTimespec(timeout, &timeoutspec) == -1)
             return NULL;
 
-        if (timeout.tv_sec < 0) {
+        if (timeoutspec.tv_sec < 0) {
             PyErr_SetString(PyExc_ValueError,
                             "timeout must be positive or None");
             return NULL;
         }
-        ptimeoutspec = &timeout;
+        ptimeoutspec = &timeoutspec;
     }
 
     if (ch != NULL && ch != Py_None) {
@@ -2167,10 +2166,34 @@
         }
     }
 
-    Py_BEGIN_ALLOW_THREADS
-    gotevents = kevent(self->kqfd, chl, nchanges,
-                       evl, nevents, ptimeoutspec);
-    Py_END_ALLOW_THREADS
+    if (ptimeoutspec)
+        deadline = _PyTime_GetMonotonicClock() + timeout;
+
+    do {
+        Py_BEGIN_ALLOW_THREADS
+        errno = 0;
+        gotevents = kevent(self->kqfd, chl, nchanges,
+                           evl, nevents, ptimeoutspec);
+        Py_END_ALLOW_THREADS
+
+        if (errno != EINTR)
+            break;
+
+        /* kevent() was interrupted by a signal */
+        if (PyErr_CheckSignals())
+            goto error;
+
+        if (ptimeoutspec) {
+            timeout = deadline - _PyTime_GetMonotonicClock();
+            if (timeout < 0) {
+                gotevents = 0;
+                break;
+            }
+            if (_PyTime_AsTimespec(timeout, &timeoutspec) == -1)
+                goto error;
+            /* retry kevent() with the recomputed timeout */
+        }
+    } while (1);
 
     if (gotevents == -1) {
         PyErr_SetFromErrno(PyExc_OSError);