Celtic will host defending champions Real Madrid when the Champions League gets under way on 6 September.
Chelsea travel to face Dinamo Zagreb earlier that day, in one of two 17:45 BST kick offs, and Manchester City are at Sevilla at 20:00 BST.
Three more British clubs, Liverpool, Rangers and Tottenham, start their campaigns the following day.
Rangers go to Ajax for a 17:45 kick-off on 7 September, while Liverpool are at Napoli at 20:00 with Tottenham kicking off at the same time at home to Marseille.
Premier League and Scottish Premiership runners-up Liverpool and Rangers are both in Group A and their first meeting will be on matchday three at Anfield at 20:00 on 4 October.