A 93rd minute goal from Stuart Findlay saw Kilmarnock beat Celtic at Rugby Park on Sunday afternoon.
Celtic had taken a first half lead through Leigh Griffiths after some calamitous defending from the home side. Griffiths's goal was Celtic first away from home in the league this season.
That was not enough for Brendan Rodgers's side.
Chris Burke equalised 20 minutes into the second half when he fired home from the edge of the box.
Kilmarnock then won a corner with the clock in the third minute of injury time. Findlay scored, adding to the poor start which Celtic have endured this season.
Celtic now sit six points behind league leaders Hearts after six games.