Leandro Trossard's superb late goal gave Brighton a gutsy win that dealt a blow to Tottenham's hopes of finishing in the top four.
Following a game of few clear-cut chances, Trossard swerved into the Spurs area with a minute of normal time remaining before producing a fine finish past Hugo Lloris.
Steven Bergwijn then missed a chance to equalise at the start of stoppage time - one of the home side's rare opportunities.
Spurs stay in fourth, just ahead of Arsenal, while Brighton - in 10th - are on course for their highest-ever top-flight finish.
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