Tottenham, who were eliminated from the Champions League in midweek, took the lead in the 11th minute through Christian Eriksen, but the Blues hit back through Pedro and Victor Moses to prolong their stay at the top of the table.
Good early Spurs pressure was rewarded when Eriksen rifled home from the edge of the area, as his effort proved too good for Chelsea goalkeeper Thibaut Courtois to keep out.
A moment of magic from Pedro saw Chelsea unexpectedly draw level on the stroke of half-time after being second best for the majority of the first half.
The Spaniard turned on the ball exquisitely before bending a shot into the far corner from 25 yards.
Chelsea then scored what proved to the the winner just after the restart when Moses swept home from 10 yards after Diego Costa had barrelled into the box and squared it for the unmarked wing-back to give his side the lead.
Dele Alli had a glorious opportunity to level in the 69th minute but the England midfielder rushed his opportunity and sliced the ball wide.
Chelsea had earlier seen Manchester City and Liverpool beat Burnley and Sunderland respectively to pile the pressure on at the top of the table, but they continue to lead the way by a point from the Blues and the Reds after 13 games of the campaign.