A late equalizer from Georginio Rutter gave Brighton a 2-2 draw on Saturday and prevented Spurs from escaping the relegation zone.
Xavi Simons thought he had won the game for Spurs with a wonderful strike from the edge of the box with less than 15 minutes remaining, but his team have now gone 15 Premier League games without a victory.
Rutter's goal was the second time the visitors had equalized, after Kaoru Mitoma's volley late in the first half cancelled out Pedro Porro's opener.