diff --git a/sys-process/cronbase/files/run-crons-0.3.7 b/sys-process/cronbase/files/run-crons-0.3.7
index 42c88100df1..469296da93b 100755
--- a/sys-process/cronbase/files/run-crons-0.3.7
+++ b/sys-process/cronbase/files/run-crons-0.3.7
@@ -128,7 +128,8 @@ for BASE in hourly daily weekly monthly ; do
 		continue
 	fi
 
-	# Blow away stale states for this particular dir.
+	# Blow away stale states for this particular dir. For intervals longer
+	# than hourly, add one hour to avoid issues with DST transitions.
 	lastrunfile="${LASTRUNDIR}/cron.${BASE}"
 	if [ -e "${lastrunfile}" ] ; then
 		case $BASE in
@@ -136,14 +137,14 @@ for BASE in hourly daily weekly monthly ; do
 			#>= 1 hour, 5 min -=> +65 min
 			TIME="-cmin +65" ;;
 		daily)
-			#>= 1 day, 5 min -=> +1445 min
-			TIME="-cmin +1445"  ;;
+			#>= 1 day, 1 hour, 5 min -=> +1505 min
+			TIME="-cmin +1505"  ;;
 		weekly)
-			#>= 1 week, 5 min -=> +10085 min
-			TIME="-cmin +10085"  ;;
+			#>= 1 week, 1 hour, 5 min -=> +10145 min
+			TIME="-cmin +10145"  ;;
 		monthly)
-			#>= 31 days, 5 min -=> +44645 min
-			TIME="-cmin +44645" ;;
+			#>= 31 days, 1 hour, 5 min -=> +44705 min
+			TIME="-cmin +44705" ;;
 		esac
 
 		find "${LASTRUNDIR}/" -name cron.$BASE $TIME -exec rm {} \; 2>/dev/null || :