Steven Gerrard was without Kemar Roofe and Alfredo Morelos – both suspended, but Scott Arfield and Jermain Defoe recovered from injury to take a place on the bench.
After a level start between Gerrard’s team and Killie, under new boss Tommy Wright, Jack sent Rangers ahead and despite a bright start to the second half they were unable to add to the scoresheet – and Joe Aribo spurned a gilt-edged chance with six minutes to play.
Both sides had claims for penalties – James Tavernier bundled down inside the box in the first half and Rory McKenzie tumbling beside Leon Balogun late on at the edge of the same area.
Regardless Rangers saw out the win to re-establish their advantage at the top of the table and Arfield was given a late run on his return from injury with one eye on Thursday’s Europa League trip to Royal Antwerp.
Here’s how the Rangers players rated...
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
Get a year of unlimited access to all The Scotsman's sport coverage without the need for a full subscription. Expert analysis of the biggest games, exclusive interviews, live blogs, transfer news and 70 per cent fewer ads on Scotsman.com - all for less than £1 a week. Subscribe to us today
. GLASGOW, SCOTLAND - FEBRUARY 13: Kilmarnock's Nicke Kabamba (L) and Rangers' James Tavernier during a Scottish Premiership match between Rangers and Kilmarnock at Ibrox Stadium, on February 13, 2021, in Glasgow, Scotland. (Photo by Rob Casey / SNS Group)
Kilmarnock's Nicke Kabamba (L) and Rangers' James Tavernier during a Scottish Premiership match between Rangers and Kilmarnock at Ibrox Stadium, on February 13, 2021, in Glasgow, Scotland. (Photo by Rob Casey / SNS Group) Photo: Rob Casey - SNS Group
. Allan McGregor - 6
Goalkeeper had little to do and he wouldn't have it any other way after his immense performance last week at Hamilton Photo: Rob Casey - SNS Group
. James Tavernier - 7
Captain should have had a penalty in the first half and got forward at will in the first half and became a midfielder for the second. Also dealt with kamamba when big forward drifted wide. Photo: Alan Harvey - SNS Group
1. Allan McGregor - 6
Goalkeeper had little to do and he wouldn't have it any other way after his immense performance last week at Hamilton Photo: Rob Casey - SNS Group
2. James Tavernier - 7
Captain should have had a penalty in the first half and got forward at will in the first half and became a midfielder for the second. Also dealt with kamamba when big forward drifted wide. Photo: Alan Harvey - SNS Group
3. Borna Barisic - 6
No complaints for the left-back who linked with the midfield but wasn't able to send his usual supply to the area. Photo: SNS Group
4. Leon Balogun - 7
Nice and tidy no nonsense display for defender on return to the first team. Rarely troubled. Photo: Craig Foy - SNS Group