New signings Kai Havetz and Timo Werner started on the side of Chelsea, while former Liverpool star Adam Lallana also got his first run out for the hosts after joining in the off-season.
Chelsea managed to come alive following a tentative opening spell and took the lead 23 minutes in after Jorginho sent Mathew Ryan the wrong way from the penalty spot following a foul on Werner.
The Seagulls got a good chance to go level five minutes later, but Neal Maupay was unable to direct Tariq Lamptey’s swerving cross from the right-hand side on target.
Lallana’s evening came to an abrupt end a minute before the break after picking up a knock and was replaced by Aaron Connolly with the home side on the mend.
Leandro Trossard gave his side a deserved equaliser on 54 minutes after curling into the bottom corner from outside the area following a slow start to the second half.
The Blues were back in control after two minutes as Reece James rattled the top corner of the net with a sumptuous long range drive for his first league goal.
Lewis Dunk should’ve drawn Graham Potter’s side level again minutes later following an opening at the back-post, but he headed off target.
Chelsea put the result beyond Brighton’s reach on 66 minutes as Kurt Zouma turned home a loose ball from a corner after the hosts failed to clear their lines.
The Blues comfortably cruised through the encounter following the closing minutes to start their campaign on a winning note.