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.