The three points took Steven Gerrard’s men on to 72 points and made it 26 games unbeaten in the league, while maintaining their 23-point lead over rivals Celtic who defeated Hamilton Accies at Parkhead.
Alfredo Morelos netted the only goal of the match and unsurprisingly the Colombian was at the centre of the key incident as he so often is when facing Hibs in Edinburgh. He can count himself lucky not to have been sent off in the first half when he appeared to stamp on centre-back Ryan Porteous.
His goal arrived in the second half following a lovely move involving James Tavernier, Ryan Jack, Steven Davis and Joe Aribo.
Rangers held on as Hibs pushed for an equaliser with Jack Ross' men putting in a hugely improved performance following their Betfred Cup defeat to St Johnstone at the weekend.
The league leaders are not back in action until February 3 with a weekend off.
Player ratings scale - 10: One of the best performances you've seen. 9: Outstanding. 8: Very good. 7: Good. 6: Average. 5: Poor, 4: Very poor. 3: A terrible day at the office. 2: Abysmal. 1: One of the worst performances you've seen.
9. Joe Aribo - 7
Passed up an early chance with a tame shot straight at Marciano in the first half. Produced a lovely deft touch to set up Morelos to score. Photo: Rob Casey - SNS Group
10. Ryan Kent - 6
A decent game but one of those where he was on the periphery at times, especially in the first half. Played a couple of nice passes in the second half. Photo: Craig Williamson - SNS Group
11. Alfredo Morelos - 7
An eventful evening for the Colombian. Was lucky to stay on the pitch after a stamp on Ryan Porteous in the first half. Was hugely influential in the second, scoring the opening goal, missing a great chance and being a constant pest with his movement. Photo: Craig Williamson - SNS Group
12. Cedric Itten - 7
Wasn't on long but had a really positive impact off the bench. Relieved pressure and nearly scored. Photo: Craig Foy - SNS Group