diff --git a/CREDITS b/CREDITS
index f5888fb79..0461d2eca 100644
--- a/CREDITS
+++ b/CREDITS
@@ -765,7 +765,7 @@ I: 1598
 
 N: Xuehai Pan
 W: https://github.com/XuehaiPan
-I: 1948
+I: 1948, 2264
 
 N: Saeed Rasooli
 W: https://github.com/ilius
diff --git a/HISTORY.rst b/HISTORY.rst
index 8a6b880d2..c0cfe9d2d 100644
--- a/HISTORY.rst
+++ b/HISTORY.rst
@@ -7,6 +7,8 @@ XXXX-XX-XX
 
 - 2241_, [NetBSD]: can't compile On NetBSD 10.99.3/amd64.  (patch by Thomas
   Klausner)
+- 2266_: if `Process`_ class is passed a very high PID, raise `NoSuchProcess`_ 
+  instead of OverflowError.  (patch by Xuehai Pan)
 
 5.9.5
 =====
diff --git a/psutil/__init__.py b/psutil/__init__.py
index 2b0b3c6b0..bb3880840 100644
--- a/psutil/__init__.py
+++ b/psutil/__init__.py
@@ -340,6 +340,14 @@ def _init(self, pid, _ignore_nsp=False):
             if pid < 0:
                 raise ValueError('pid must be a positive integer (got %s)'
                                  % pid)
+            try:
+                _psplatform.cext.check_pid_range(pid)
+            except OverflowError:
+                raise NoSuchProcess(
+                    pid,
+                    msg='process PID out of range (got %s)' % pid,
+                )
+
         self._pid = pid
         self._name = None
         self._exe = None
diff --git a/psutil/_psutil_aix.c b/psutil/_psutil_aix.c
index 8a1b8de94..ce89a7bd7 100644
--- a/psutil/_psutil_aix.c
+++ b/psutil/_psutil_aix.c
@@ -1019,6 +1019,7 @@ PsutilMethods[] =
     {"net_if_stats", psutil_net_if_stats, METH_VARARGS},
 
     // --- others
+    {"check_pid_range", psutil_check_pid_range, METH_VARARGS},
     {"set_debug", psutil_set_debug, METH_VARARGS},
 
     {NULL, NULL, 0, NULL}
diff --git a/psutil/_psutil_bsd.c b/psutil/_psutil_bsd.c
index a1b4a3e5b..fde3916d3 100644
--- a/psutil/_psutil_bsd.c
+++ b/psutil/_psutil_bsd.c
@@ -106,6 +106,7 @@ static PyMethodDef mod_methods[] = {
     {"sensors_cpu_temperature", psutil_sensors_cpu_temperature, METH_VARARGS},
 #endif
     // --- others
+    {"check_pid_range", psutil_check_pid_range, METH_VARARGS},
     {"set_debug", psutil_set_debug, METH_VARARGS},
 
     {NULL, NULL, 0, NULL}
diff --git a/psutil/_psutil_common.c b/psutil/_psutil_common.c
index 096e2f373..d8d78bf64 100644
--- a/psutil/_psutil_common.c
+++ b/psutil/_psutil_common.c
@@ -128,6 +128,27 @@ AccessDenied(const char *syscall) {
     return NULL;
 }
 
+/*
+ * Raise OverflowError if Python int value overflowed when converting to pid_t.
+ * Raise ValueError if Python int value is negative.
+ * Otherwise, return None.
+ */
+PyObject *
+psutil_check_pid_range(PyObject *self, PyObject *args) {
+#ifdef PSUTIL_WINDOWS
+    DWORD pid;
+#else
+    pid_t pid;
+#endif
+
+    if (!PyArg_ParseTuple(args, _Py_PARSE_PID, &pid))
+        return NULL;
+    if (pid < 0) {
+        PyErr_SetString(PyExc_ValueError, "pid must be a positive integer");
+        return NULL;
+    }
+    Py_RETURN_NONE;
+}
 
 // Enable or disable PSUTIL_DEBUG messages.
 PyObject *
diff --git a/psutil/_psutil_common.h b/psutil/_psutil_common.h
index 591f5521f..a425f8685 100644
--- a/psutil/_psutil_common.h
+++ b/psutil/_psutil_common.h
@@ -99,6 +99,7 @@ PyObject* PyErr_SetFromOSErrnoWithSyscall(const char *syscall);
 // --- Global utils
 // ====================================================================
 
+PyObject* psutil_check_pid_range(PyObject *self, PyObject *args);
 PyObject* psutil_set_debug(PyObject *self, PyObject *args);
 int psutil_setup(void);
 
diff --git a/psutil/_psutil_linux.c b/psutil/_psutil_linux.c
index a6ee60254..3e6b3b900 100644
--- a/psutil/_psutil_linux.c
+++ b/psutil/_psutil_linux.c
@@ -518,6 +518,7 @@ static PyMethodDef mod_methods[] = {
     // --- linux specific
     {"linux_sysinfo", psutil_linux_sysinfo, METH_VARARGS},
     // --- others
+    {"check_pid_range", psutil_check_pid_range, METH_VARARGS},
     {"set_debug", psutil_set_debug, METH_VARARGS},
 
     {NULL, NULL, 0, NULL}
diff --git a/psutil/_psutil_osx.c b/psutil/_psutil_osx.c
index dd7168eb7..369fbbfb4 100644
--- a/psutil/_psutil_osx.c
+++ b/psutil/_psutil_osx.c
@@ -54,6 +54,7 @@ static PyMethodDef mod_methods[] = {
     {"virtual_mem", psutil_virtual_mem, METH_VARARGS},
 
     // --- others
+    {"check_pid_range", psutil_check_pid_range, METH_VARARGS},
     {"set_debug", psutil_set_debug, METH_VARARGS},
 
     {NULL, NULL, 0, NULL}
diff --git a/psutil/_psutil_sunos.c b/psutil/_psutil_sunos.c
index 5422005fe..11335993f 100644
--- a/psutil/_psutil_sunos.c
+++ b/psutil/_psutil_sunos.c
@@ -1659,6 +1659,7 @@ PsutilMethods[] = {
     {"users", psutil_users, METH_VARARGS},
 
     // --- others
+    {"check_pid_range", psutil_check_pid_range, METH_VARARGS},
     {"set_debug", psutil_set_debug, METH_VARARGS},
 
     {NULL, NULL, 0, NULL}
diff --git a/psutil/_psutil_windows.c b/psutil/_psutil_windows.c
index 54678f755..bb6e12ff8 100644
--- a/psutil/_psutil_windows.c
+++ b/psutil/_psutil_windows.c
@@ -105,6 +105,7 @@ PsutilMethods[] = {
     {"QueryDosDevice", psutil_QueryDosDevice, METH_VARARGS},
 
     // --- others
+    {"check_pid_range", psutil_check_pid_range, METH_VARARGS},
     {"set_debug", psutil_set_debug, METH_VARARGS},
 
     {NULL, NULL, 0, NULL}
diff --git a/psutil/tests/test_misc.py b/psutil/tests/test_misc.py
index a7b5d02d5..53c640121 100755
--- a/psutil/tests/test_misc.py
+++ b/psutil/tests/test_misc.py
@@ -60,6 +60,12 @@
 
 class TestSpecialMethods(PsutilTestCase):
 
+    def test_check_pid_range(self):
+        with self.assertRaises(OverflowError):
+            psutil._psplatform.cext.check_pid_range(2 ** 128)
+        with self.assertRaises(psutil.NoSuchProcess):
+            psutil.Process(2 ** 128)
+
     def test_process__repr__(self, func=repr):
         p = psutil.Process(self.spawn_testproc().pid)
         r = func(p)