diff --git a/HISTORY.rst b/HISTORY.rst
index fdd59e765..f21c4c20b 100644
--- a/HISTORY.rst
+++ b/HISTORY.rst
@@ -18,6 +18,7 @@
 - 940_: [Linux] cpu_percent() and cpu_times_percent() was calculated
   incorrectly as "iowait", "guest" and "guest_nice" times were not properly
   taken into account.
+- 944_: [OpenBSD] psutil.pids() was omitting PID 0.
 
 
 5.0.0
diff --git a/psutil/_psbsd.py b/psutil/_psbsd.py
index a33015048..acf6c7c3c 100644
--- a/psutil/_psbsd.py
+++ b/psutil/_psbsd.py
@@ -17,6 +17,7 @@
 from . import _psutil_posix as cext_posix
 from ._common import conn_tmap
 from ._common import FREEBSD
+from ._common import memoize
 from ._common import memoize_when_activated
 from ._common import NETBSD
 from ._common import OPENBSD
@@ -420,7 +421,26 @@ def users():
 # =====================================================================
 
 
-pids = cext.pids
+@memoize
+def _pid_0_exists():
+    try:
+        Process(0).name()
+    except NoSuchProcess:
+        return False
+    except AccessDenied:
+        return True
+    else:
+        return True
+
+
+def pids():
+    ret = cext.pids()
+    if OPENBSD and (0 not in ret) and _pid_0_exists():
+        # On OpenBSD the kernel does not return PID 0 (neither does
+        # ps) but it's actually querable (Process(0) will succeed).
+        ret.insert(0, 0)
+    return ret
+
 
 if OPENBSD or NETBSD:
     def pid_exists(pid):