Goals from Leigh Griffiths and Callum McGregor moved Celtic four points clear at the top of the table after a nervy final five minutes.
The Hoops had a few openings in the first half but were limited to shots from distance as Partick Thistle were compact and organised in defence.
The best came from Nir Bitton, who’s fizzing shot went inches wide of the top right-hand corner after 40 minutes.
Celtic took a well-deserved lead through Griffiths just before half-time for his 35th goal of the season.
Gary Mackay-Steven’s terrific cross was coolly controlled by Griffiths who composed himself before firing the ball at Tomas Cerny, who couldn’t prevent the ball crossing the line.
On 54 minutes Callum McGregor doubled Celtic’s lead with a cool finish with his right foot.
Erik Sviatchenko gave Thistle a glimmer of hope after pulling back Steven Lawless and gifting them a penalty with five minutes remaining.
Here are the player ratings from today’s game.