In a barnstorming first-half Liel Abada fired the home side after eight minutes and the Israel winger grabbed a second just before the break, after Portuguese winger Jota had scored with a delightful chip.
The Hoops had opened up a 3-0 interval gap in this fixture in February and the result would have stayed the same this time had substitute David Turnbull not accepted a gift from Jon McLaughlin to shoot past the Gers goalkeeper for number four, sealing another sore defeat for the Ibrox outfit.
After the first Old Firm game of the season and the sixth league fixture, Ange Postecoglou's side have a five-point lead over their city rivals and even so early in the season look on course to retain the title.
Celtic have been ruthless at the start of this campaign, scoring 25 goals in their six games and conceding just once.
The defending Scottish will now prepare for their glamour Champions League opener against Real Madrid on Tuesday night on a real high.
Rangers' opener in the competition takes place the following night in Amsterdam against Ajax and they have to somehow regroup after a damaging afternoon.
Once the Gers are done with their European exploits, they will travel to Aberdeen in what could turn out to be another testing outing.