Filip Helander gave the Scottish champions a 1-0 win at Ibrox with a towering header, consigning their rivals to their worst start in the league since 1997/98.
Rangers were without key players likes James Tavernier and Allan McGregor, as well as Nathan Patterson and Jon McLaughlin but produced a solid performance with manager Steven Gerrard watching from home as he took isolated.
The win took Rangers on to nine points from 12 going into the international break with Celtic down in sixth with six points.
How did the 15 players involved rate out of ten?
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.
5. Borna Barisic - 7
Sluggish at times in the first half as he works his way back to his best after injury over the summer. Delivered a perfect cross for the winning goal and was emotional at the end. Photo: Alan Harvey - SNS Group
6. Steven Davis - 8
As the game went on he got better and better. Fantastic energy, used the ball smartly and was the player Rangers needed as they saw out the 1-0 win in the final stages. Photo: Rob Casey - SNS Group
7. Glen Kamara - 7
The most impressive aspect of the Finn's performance for Rangers was his work without the ball. Done the gritty stuff very well and was effective. Photo: Rob Casey - SNS Group
8. Joe Aribo - 6
Not the midfielder's most influential afternoon. Some nice touches and useful positional play in when Rangers were in and out of possession. Photo: Alan Harvey - SNS Group