Hazard netted a double in Chelsea's 4-0 win in the corresponding fixture last season, and the winger dazzled Brighton in the first half on Sunday.
With Pedro having benefited from Hazard's exceptional play for Chelsea's opener, the Belgian doubled the visitors' advantage with his first goal in eight games just after the half-hour, although he was replaced late on after picking up a knock.
Solly March's close-range finish after Marcos Alonso had hit the woodwork set up a grandstand finish, but Chelsea held firm to move back within two points of third-placed Tottenham.
9 - Eden Hazard has provided more assists in league competition than any other player in the Top 5 European Leagues in 2018-19. Wizardry. pic.twitter.com/kVaa703Xit — OptaJoe (@OptaJoe) 16 December 2018
Buoyed by his goal against Manchester City, David Luiz had Chelsea's first attempt, Mat Ryan doing well to judge the defender's dipping free-kick.
But Ryan was beaten in the 17th minute, as Hazard came to the fore.
After seeing his initial shot blocked, Hazard capitalised on the ricochet, driving into the area before sliding a disguised pass to the far post, setting up Pedro for a simple finish.
Hazard turned from provider to scorer 16 minutes later, racing clear of Brighton's defence to latch on to Willian's throughball and slot beyond Ryan.
Chelsea should have been out of sight early in the second half, but Hazard failed to tuck in Cesar Azpilicueta's pinpoint cross before Alonso's venomous effort clattered off the upright.
Brighton made their good fortune count when March tucked home in the 66th minute, though it was ultimately the sensational first-half display from Hazard – who left the field seven minutes from time following a heavy challenge from Dale Stephens – that proved decisive, with Lewis Dunk heading wide from six yards out in stoppage time.
What does it mean? Chelsea tighten their grip on fourth
The Blues are now on 37 points, two behind Tottenham but, perhaps more importantly, three ahead of Arsenal, whose unbeaten run came to an end with a 3-2 defeat at Southampton. Brighton, meanwhile, remain 13th, but with a five-point cushion between themselves and Newcastle United a place below.
Electric Hazard runs riot
After his crucial part in Pedro's opener, Hazard claimed an assist for the fourth consecutive Premier League match – a career first, and the first time a Chelsea player has done so since Cesc Fabregas in September 2014. Not content with that, Hazard got in on the action with a typically composed finish, ending a run of seven league games without a goal.
However, an apparent ankle knock picked up in the second half will be of concern to Chelsea boss Maurizio Sarri.
Sloppy Brighton only have themselves to blame
Chris Hughton was rightly furious after Hazard slipped in Chelsea's second. While the first goal was down to individual brilliance, the second – which in the end proved crucial – was due to slack play from the hosts, with Leon Balogun's wayward pass enabling Willian to pounce, and Hazard did the rest.
Key Opta stats
- Chelsea have scored 37 goals in the Premier League this season; their most at this stage of a campaign since 2014-15 when they won the title (38).
- Five of Brighton’s six home defeats in the Premier League have come against the traditional ‘big six’ teams, including both such defeats this season (1-2 v Spurs and Chelsea).
- Chelsea have won each of their seven games against Brighton in league competition; their best 100 per cent record against a single opponent in league history.
- Brighton have kept just three clean sheets in their last 19 games in the Premier League, conceding 31 goals in this run.
- Chelsea’s Eden Hazard has been directly involved in more Premier League goals this season (17 in 16 apps) than he was in the whole of last season (16 in 34 apps).
Bournemouth are the next opposition for both Brighton and Chelsea. Eddie Howe's side travel to Stamford Bridge in the EFL Cup on Wednesday, before facing the Seagulls in the league on Saturday.