The young winger set up Olivier Giroud for the opener on 38 minutes before Eden Hazard and Ruben Loftus-Cheek scored with stunning finishes in the second half. Here's how we rated the players of both teams.
No real chance with any of the goals but made a couple of straight-forward saves in the second half.
Club captain made his first Premier League appearance since December. Had his hands full up against Hazard.
Deflected goalbound Hudson-Odoi shot over early on and crucial block to deny Giroud. Dominant in the air as usual.
Giroud got in between Albion's central defensive duo to score Chelsea's opener. Sent a couple of long crossfield passes straight to an Albion team-mate in the first half.
Back in the starting line-up but had a tough night up against Hudson-Odoi, who was a constant threat and set up Chelsea's opener.
Helped Albion keep hold of the ball when they won back possession in the first half but Chelsea were much more dominant in the second period.
Led a couple of breaks in the first half and decent on the ball. Tougher second half.
One brilliant run and cross caused a moment of panic at the back for Chelsea in the first half. Difficult evening up against the quality in Chelsea's midfield.
Volleyed half-chance into the side netting from a tight angle. Lost possession to Hudson-Odoi a couple of times but tracked back to stop Azpilicueta from getting in. Subbed early through injury.
Back in the starting line-up after missing three games. Full of running and looked to hold the ball up.
Delivered the cross which set up March half-chance when Albion broke quickly. Winger had few other opportunities to get forward.
Replaced March after half-an-hour but didn't see much of the ball in an attacking sense. Missed late chance for a consolation.
Came on for Andone for the last 20 minutes.
Replaced Jahanbakhsh for the last 15 minutes. Low strike well saved by Arrizabalaga.
Quiet evening for Chelsea's keeper who had little to do but saved low Bernardo well late on.
Solid at the back. March and then Jahanbakhsh had little joy attacking the full-back.
Comfortable game for the defender, who helped to restrict Brighton's openings.
Lovely long ball forward just evaded Kante in opening seconds. Strong at the back as Chelsea limited Albion's chances.
Replaced the injured Marcos Alonso at left-back. Pushed forward down the left to support Eden Hazard.
Winger impressed on first Premier League start. Had a shot deflected over by Duffy early on. Set up Giroud for the opener with low cross. Headed straight at Ryan in the second half.
Played the short, simple passes to keep Chelsea in possession.
Worked up and down the pitch and strong in the tackle. Had half-hearted penalty appeals waved away when he went down under a Bong challenge.
Outstanding goal when he curled the ball into the top corner from 20 yards. Comfortable in possession and also played the pass for Hazard to make it 2-0. Subbed.
Lovely goal on the hour when he curled the ball into the far corner. Went on one mazy run which began in his own half and blazed over a decent opportunity in the first half. Subbed.
First Premier League start since December. Headed over from early corner and had another effort blocked by Duffy. Composed finish to put Chelsea 1-0 up.