Chelsea have struggled at Stamford Bridge under Frank Lampard but took full advantage of a woeful Brighton to address that record.
They started on the front foot and carved out a few early chances before Tammy Abraham headed on to the post after Mason Mount delivered an inviting free-kick into the box.
Ross Barkley also went close for the west Londoners after he met Marcos Alonso’s cross but was denied by a sharp save from Mathew Ryan.
Brighton were playing a risky game throughout the afternoon at the Bridge, playing out from the back, and that approach eventually proved to be their downfall.
Adam Webster received the ball inside his own box but Mount pounced to steal the ball and was hacked down in the process.
Referee Chris Kavanagh pointed to the penalty spot and Jorginho made no mistake from 12 yards as he rolled the ball into the bottom left corner.
The Seagulls registered their first effort on the hour mark when Pascal Gross headed over the bar but went close to equalising moments later.
Dan Burn rose to meet a corner but his effort grazed the crossbar and went behind after bouncing too firmly off the turf.
The points were sealed with around 15 minutes left to play when substitute Callum Hudson-Odoi played in Willian and his shot deflected in off the boot of Burn.
A first home win of the season was further complemented by a first clean sheet of the term for Chelsea,but there are worrying signs for Brighton, who haven’t won since the opening day.