Match ends, Chelsea 2, Brighton and Hove Albion 0.
Chelsea "needed the win" over Brighton, said boss Frank Lampard after his first home victory as a Premier League manager.
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 move up to sixth in the Premier League while Brighton fall to 16th.
"We haven't had a 90-minute game where we've controlled it enough [before now]," Lampard told BBC Sport. "The only disappointment is we didn't have more goals. We got a clean sheet as well. It is good for the confidence of everyone.
"We had a lot of shots in the first half, but had weak finishing and a bit of bad luck. You do start to wonder but you have to remain confident it will come and it did."
Chelsea get the job done
The Blues, with a youthful team following a transfer ban, have been easy on the eye this season but have dropped points regularly.
There had been 25 goals in their opening six league games, but more against than for - and they had not won at home in three top-flight matches.
Lampard had the worst record of any Blues manager this millennium after nine games in all competitions, with no clean sheets.
During the first half, it looked as if they were going to be frustrated with none of their 17 shots going in. Mount went closest when his free-kick from the left wing evaded everyone and hit the post, while Pedro and Tammy Abraham managed five shots each - both had three of them on target without finding the net.
But the Blues kept going and got their reward when Webster fouled Mount, with Jorginho scoring his second goal of the season from the spot.
They dominated for the entire game, bar a short period, and Willian blasted home his first Premier League goal since January, albeit with the help of a deflection.
English youngsters Abraham - the league's second top scorer with seven goals - Mount and Fikayo Tomori have scored 11 of Chelsea's 14 Premier League goals, and Lampard was impressed again despite none of them managing to score.
Hudson-Odoi came on for his first Premier League game of the season after recovering from an Achilles problem.
"It is great for the club and a long time coming," Lampard said. "The work is done in the academy. The mentality is great. They want to play for this club.
"At the moment they are earning it and setting a level for others. I have complete confidence in the lads. They are there on merit. Whatever game, they take it on board and long may it continue."
Brighton's struggles continue
Nice football but no end product is the story of Brighton's season under Graham Potter. This was never a game they were likely to win.
The Seagulls have now only taken one point from 14 Premier League games against the usual top-six sides. And their only win over Chelsea came in their first meeting, a 1933 FA Cup tie.
After the game Potter, whose team have scored only two league goals since the opening day and are one point above the relegation zone, openly conceded "the better team won".
He added "we rode our luck in the first half", with goalkeeper Mat Ryan making four of his eight saves, including a brilliant instinctive stop to keep out Ross Barkley's close-range effort.
Brighton, who kept trying to play from the back, were architects of their own downfall for the opener. Webster took a heavy touch, or perhaps played a weak backpass, instead of just clearing, and he fouled Mount as he tried to win the ball back.
They kept that philosophy going and Dale Stephens gave Tammy Abraham a chance to score with a shoddy backpass, but Ryan denied him.
Teenage striker Aaron Connolly's introduction sparked a good 10 minutes or so for Brighton, with Burn heading off the crossbar from Pascal Gross' corner.
But Willian's goal wrapped the game up - and Stephens' weak 25-yard shot in injury time was Albion's only effort on target.
"We gave a goal away cheaply and then grew into the game but then gave a goal that killed the game," said Potter. "We are disappointed but credit to the opposition. Chelsea were good and we could not sustain any pressure.
"There are always things you can improve. You have to be clinical when the moments come. But the players gave everything and Chelsea were just better today.
"We have had a settled way of playing. Personnel have to change in the game if things are not working. The boys have been positive to what we want to do."
Man of the match - Willian (Chelsea)
Match stats - one win in 16 for Brighton
- It was Chelsea's first clean sheet in 11 games since a goalless draw with Leicester on the final day last season.
- This was the 34th Premier League game that Brighton have failed to score in since joining the division in 2017-18, more than any side currently playing in the competition.
- Brighton have won just one of their past 16 Premier League matches (D6 L9), winning none of their past six games in the league (D3 L3) since beating Watford 3-0 on the opening day.
- Jorginho has scored as many goals in nine appearances for Chelsea this season (two) as he did in 54 games last season - three of those four goals have been penalties.
- Willian scored his first goal in 17 Premier League appearances for Chelsea since he last found the net against Newcastle in January - he had tried 32 shots since then.
- Chelsea attempted 17 shots in the first half, their highest total in the opening 45 minutes of a Premier League game since August 2013 against Hull (18), and highest without scoring since November 2010 against Birmingham (18).
- Pascal Gross' attempt in the 60th minute was Brighton's first shot - this is the longest they have had to wait to have their first shot of a Premier League fixture.
Chelsea's next game is at Lille in the Champions League on Wednesday (20:00 BST). They are back in Premier League action at Southampton on Sunday, 6 October (14:00 BST).
Brighton host Tottenham Hotspur on Saturday, 5 October at 12:30 BST.
- 4ChristensenBooked at 23mins
- 3AlonsoBooked at 31mins
- 8BarkleySubstituted forKovacicat 68'minutes
- 11PedroSubstituted forHudson-Odoiat 63'minutes
- 9AbrahamSubstituted forBatshuayiat 84'minutes
- 15WebsterBooked at 49mins
- 18MooySubstituted forConnollyat 65'minutes
- 46AlzateBooked at 33mins
- 8BissoumaSubstituted forBongat 45'minutes
- 7MaupayBooked at 28minsSubstituted forMurrayat 79'minutes
- Chris Kavanagh
- Shots on Target
Second Half ends, Chelsea 2, Brighton and Hove Albion 0.
Attempt saved. Dale Stephens (Brighton and Hove Albion) right footed shot from outside the box is saved in the centre of the goal.
Attempt blocked. Dan Burn (Brighton and Hove Albion) left footed shot from the left side of the box is blocked. Assisted by Martín Montoya.
Attempt missed. Adam Webster (Brighton and Hove Albion) header from the centre of the box is close, but misses to the right. Assisted by Pascal Groß with a cross following a corner.
Corner, Brighton and Hove Albion. Conceded by Callum Hudson-Odoi.
Offside, Chelsea. César Azpilicueta tries a through ball, but Michy Batshuayi is caught offside.
Attempt missed. Glenn Murray (Brighton and Hove Albion) right footed shot from outside the box misses to the left. Assisted by Adam Webster.
Attempt blocked. Michy Batshuayi (Chelsea) left footed shot from outside the box is blocked. Assisted by Mateo Kovacic.
Substitution, Chelsea. Michy Batshuayi replaces Tammy Abraham.
Jorginho (Chelsea) wins a free kick in the defensive half.
Foul by Steven Alzate (Brighton and Hove Albion).
Corner, Chelsea. Conceded by Pascal Groß.
Hand ball by Aaron Connolly (Brighton and Hove Albion).
Substitution, Brighton and Hove Albion. Glenn Murray replaces Neal Maupay.
Foul by César Azpilicueta (Chelsea).
Neal Maupay (Brighton and Hove Albion) wins a free kick in the defensive half.
Corner, Chelsea. Conceded by Mat Ryan.
Attempt saved. Tammy Abraham (Chelsea) right footed shot from the centre of the box is saved in the top right corner. Assisted by Mateo Kovacic.
Goal! Chelsea 2, Brighton and Hove Albion 0. Willian (Chelsea) right footed shot from the right side of the box to the bottom right corner. Assisted by Callum Hudson-Odoi following a fast break.