The home side had the best of the first 45 minutes with no shortage of work-rate and enthusiasm.
However, the script looked familiar to the Jags fans as the first half ended goalless after striker Kris Doolan missed its best chance in the 39th minute when he headed over from close range.
Doolan missed another great opportunity in the 51st minute when he failed to beat Easter Road goalkeeper and captain Ben Williams after he was clear on goal.
Hibs, looking to bounce back from last week's 3-0 defeat against Inverness, which came on the back of a six-game unbeaten run, failed toseriously test Thistle keeper Scott Fox until Craig curled a wonderful shot past him in the 68th minute.
Earlier in the day Thistle revealed that Euromillions winners Colin and Chris Weir have given £750,000 to allow the Maryhill club to create a new youth academy.
But it was Hibs boss Pat Fenlon and the travelling support who hit the jackpot by leaving Glasgow with all three points to take them level on points with fourth-placed Aberdeen.