The Scottish Premiership giants suffered a 2-1 home defeat to Norwegian side Molde in the Europa League Group A.
Mohamed Elyounoussi took advantage of poor defending from the Bhoys in the 21st minute to open the scoring for the visiting team.
Kris Commons diverted Nir Bitton's strike into the net to level the match just five minutes later, but Daniel Berg Hestad hooked the ball home on 37 minutes to secure victory for Molde.
Nir Bitton was sent off for a professional foul in the second half, as Celtic ended the match with 10 men.
Over the course of the 90 minutes at Celtic Park, the Hoops had 52% of the possession, took 16 shots of which eight were on target, and earned six corners.
Visitors Molde had 48% of the possession, took nine shots of which two were on target, and earned seven corners.
Following the match, former Celtic midfielder Burley took to Twitter to give an amusing response to the loss suffered by Ronny Deila’s side.
Cheerleaders fear not. Norway is a footballing hotbed. Keep talking the game up. Yours sincerely.— Craig Burley (@CBurleyESPN) November 5, 2015
Molde boss Ole Gunnar Solskjaer about Celtic on @BBCSportsound: "It's hard when you win the league by just turning up every year."— Kenny Crawford (@Kenny_Crawford) November 5, 2015
Celtic are now at the foot of Group A with just two points from four matches, three points behind second-place Fenerbahce.