Dundee's first chance was after 11 minutes when Cameron shot across the goal, after that they were pinned back by Celtic who controlled most of the next 30 minutes. They had a great chance but they shot wide of the goal when really they should have scored.
Second half and it much the same and Celtic scored their first after just seven minutes. Dundee did have a wee spell on the attack but McCowan's shot was just wide.
Zach Robinson and Scott Tiffoney replaced the strikers who had worked hard with no reward. The change made no difference to the game.
Celtic scored again on 83rd minute and added a third goal in injury time to seal a 3-0 win. Dundee struggled and will have do better at Kilmarnock on Saturday.
Before the third goal Ryan Howley replaced the injured vRobinson, and Mo Sylla also came on for Malachi Boateng.
Dundee: Carson, Shaughnessy (c), McGhee, Donnelly, Kerr, Cameron (Robertson 73), Boateng (Sylla 84), McCowan, Beck, Bakayoko (Robinson 68 (Howley 84)), Rudden (Tifffoney 68). Unused Subs: Legzdins (gk), Ashcroft, Mulligan, Pineda.
Att: 9,144
Referee: Don Robertson