Martyn Corrigan’s second half own goal gave Celtic the points to trim Rangers lead down to one point.
Celtic totally dominated the match with Artur Boruc barely used but some poor luck in front of goal kept the score down.
Scott McDonald, Scott Brown and substitute Derek Riordan all tested Allan Combe and the Killie goal during the first half but the game remained goal-less at the interval.
The goal had to come although it was from an unlikely source when Corrigan shot past his own keeper as he stretched to connect with a shot from Brown.
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