Celtic needed an injury-time equaliser from Diego Laxalt to snatch a point at Easter Road after falling two goals behind to Jack Ross’ side.
The visitors dominated the opening period but struggled to create chances with a Mohamed Elyounoussi header the only real clear-cut opportunity they had.
They were hit with a sucker punch after the break following a rash and clumsy challenge from Scott Brown on Martin Boyle. Kevin Nisbet had his penalty saved by Rangers loanee Jamie Murphy followed up the rebound.
From there Hibs were a consistent threat in attack, doubling the scoring through Nisbet a short-time later.
Celtic were able to rescue something after Paul McGinn was adjudged to have handled in the penalty box and substitute Odsonne Edouard tucked his spot-kick away. Laxalt then levelled the scores, firing into the roof of the net after a poor clearance from Paul Hanlon.
Player ratings scale - 10: One of best performances you've seen. 9: Outstanding. 8: Very good. 7: Good. 6: Average. 5: Poor, 4: Very poor. 3: Terrible day at office. 2: Abysmal. 1: One of worst performances you've seen.
9. AMC - Tom Rogic - 5
The quick-footed Australian showed few glimpses of his quality as he barely got himself in the game. Photo: Ross Parker - SNS Group
10. AML - Mohamed Elyounoussi - 5
Has been in great form of late, but you wouldn't have known it at Easter Road. Photo: Craig Williamson - SNS Group
11. FC - Albian Ajeti - 6
Struggled to get into things but he's a striker who relies on service and, other than a chance that he created for himself with a great turn, he didn't get any. Photo: Craig Williamson - SNS Group
12. Sub - Odsonne Edouard - 7
Looked lively off the bench and fired his game back into the game from the spot. Photo: Sanita Sparane - SNS Group