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.
1. Allan McGregor - 6
Was required to produce spectacular saves but when called into action did what he needed to do. Was angered by Kevin Clancy failing to see the ball kicked from his possession. Photo: Rob Casey - SNS Group
2. James Tavernier - 7
The right-back will have more influential games in the final third but showed the lesser-discussed defensive side of the game which is often overlooked. Photo: Rob Casey - SNS Group
3. Connor Goldson - 7
Matched up well against Kevin Nisbet and kept the talented forward quiet. Had a couple of half chances from set pieces as well. Photo: Craig Williamson - SNS Group
4. Filip Helander - 8
Helander made a key early block owed to his fantastic reading of the game. Christian Doidge was a threat pulling on to or behind the Swede and had a couple of half chances but the defender won the battle. An intelligent player. Photo: Ross MacDonald - SNS Group