After the corner of Giovani lo Celso and Harry Kane burst clear in his 18th score of the season to stroke, Czech midfielder Tomas Soucek accidentally converted to his own net.
The defeat puts the Hammers above the drop zone for the remaining seven fixtures, but still, on goal gap for Bournemouth, Aston Villa and Norwich-who are in the bottom three-and each with a game in hand on the hands of David Moyes.
Spurs felt they took the advantage on the half-time strike from Son Heung-min’s low shot, but the camera assistant referee adjudicated the South Korean to be slightly offside.
While West Ham’s Jarrod Bowen rattled the post when it was 1-0 with 12 minutes left, Kane might have scored earlier but flashed a shot over and dragged a large effort out of a swift counter-attack.
Tottenham – West Ham United 2:0
Goals: Souček 64 og, Kane 82.
Yellow Cards: Kane 51, Davies 67 – Fornals 15, Noble 26.