Leigh Griffiths scored his 50th Celtic goal and made history as the Hoops coasted to victory at Tannadice.
Griffiths bagged the opening goal after a defensive mistake from Dundee United which he took advantage of, becoming the fastest Celtic player to score 50 goals.
The striker got on the end of Tom Rogic’s pass and slid the ball through Eiji Kawashima’s legs for the opening goal after 21 minutes.
Jozo Simunovic doubled Celtic lead six minutes later after heading home from Kris Commons brilliant free-kick.
A lapse in midfield and defence allowed the home side to stroll through the Hoops and get a goal back on 31 minutes through Simon Murray.
Stuart Armstrong looked lively against his former team and caused lots of problems down the left wing, coming close to scoring on several occasions in the first-half.
Griffiths added a third goal from a counter-attack which Mikael Lustig started down the right wing.
A sublime volley from Commons made it four for Ronny Deila’s men as they cruised through the final 30 minutes of the game.