diff --git a/libpromises/generic_agent.c b/libpromises/generic_agent.c
index 14a5a3d8bd..3c8a32ad6d 100644
--- a/libpromises/generic_agent.c
+++ b/libpromises/generic_agent.c
@@ -1486,6 +1486,7 @@ bool GenericAgentArePromisesValid(const GenericAgentConfig *config)
 static void OpenLog(int facility)
 {
     openlog(CF_PROGRAM_NAME, LOG_PID | LOG_NOWAIT | LOG_ODELAY, facility);
+    RegisterCleanupFunction(&CloseLog);
 }
 #endif