Danny Welbeck's first-half goal proved decisive as Brighton condemned Newcastle to their first Premier League defeat at home since January.
The result lifts the Seagulls up to fifth in the table while the Magpies remain eighth.
Brighton had spent most of the opening period on the back foot when Welbeck's quick thinking made the difference.
The former England forward, who turns 34 next month, played a clever one-two with Georginio Rutter before placing the ball in the bottom right corner with the visitors' first effort on goal of the afternoon.
Welbeck, who was withdrawn on a stretcher late on after appearing to injure his back, has now scored five goals in eight appearances in the top flight this term.
However, Brighton's victory was also down to some resilient defending coupled with profligate finishing from the hosts.
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