Graham Potter’s team impressed against Erik ten Hag’s men and two goals from Pascal Gross saw Albion triumph at Old Trafford for the first time in their Premier League history.
A number of players shone for the Seagulls but only two made Garth Crooks’ team of week on the BBC Sport website.
It was a drama packed opening weekend for the Premier League with Arsenal, Tottenham, Manchester City all looking impressive as they claimed maximum points.
Jurgen Klopp’s Liverpool dropped two points in 2-2 draw as they came up against a fired-up Fulham side at Craven Cottage.
Marc Cucurella started his new life at Chelsea with a 1-0 win at Everton and Bournemouth returned to the top flight with a bang as they beat Steven Gerrard’s Aston Villa 2-0.
Here’s who made Garth’s team of the week...
5. Ilkay Gundogan - M
Des not always get the plaudits alongside his high profile teammates but Crooks said: "The Germany international controlled the first half for Manchester City" as they played the Hammers off their own pitch. Photo: Mike Hewitt
6. Kevin de Bruyne
Just an absolute Rolls Royce of a player. Crooks said the West Ham midfielder 'never laid a glove on him'. Superb player. Photo: Mike Hewitt
7. Pascal Gross - M
Here he is! And what a display from the experienced German with two goals at Old Trafford. Always seems to score against Manchester United and his all round game was sound as well. Crooks said: "Gross was the coolest man on the pitch against United, while Brighton played sensible, uncomplicated, counter-attacking football and it ultimately cost United the match." Photo: Michael Regan
8. Dejan Kulusevski - M
The Spurs ace was excellent against Southampton. Powerful, skilful and what a finish. Crooks said: "This player has been a revelation since he arrived from Juventus." Photo: Henry Browne