Frank Lampard's men hadn't won a league game in over month with their latest loss coming against Manchester United at home.
However Olivier Giroud and Marcos Alonso struck early in both halves to earn three points having both been recalled by Lampard.
Giovani Lo Celso was lucky to avoid a red card for a terrible foul on Cesar Azpilicueta, while Antonio Rudiger's late own-goal set up a tense finale.
Spurs have now only won one of their last 34 away games in all competitions at Stamford Bridge which came in April 2018.
Sportsmail's James Ayles will provide live Premier League coverage of Chelsea vs Tottenham including score, lineups and build-up.