Chelsea gave Frank Lampard his first home victory as a Premier League manager with a well-deserved win.
The Blues deservedly won to make it nine wins out of nine league games against Brighton.
They led at Stamford Bridge when Jorginho scored a penalty after Adam Webster fouled Mason Mount.
Albion, who have not won in the league since the opening day, briefly rallied and Dan Burn’s header hit the crossbar.
But Willian sealed the victory with a deflected strike from Callum Hudson-Odoi’s pass.
Chelsea moves up to sixth in the Premier League while Brighton falls to 16th.