Antonio Conte's men reclaimed top spot in the Premier League but they had to come from behind as a first-half Christian Eriksen strike ended a run of six straight clean sheets in the competition.
Although Tottenham's high press hustled the Blues out of their stride for much of the first half, Pedro's equaliser was a peach and the hosts deserved the points Victor Moses' drive secured.
Tottenham's much-vaunted passing game suffocated Chelsea early on and goalkeeper Thibaut Courtois' attempts to play out from the back invited more pressure which saw Chelsea crack in the 23rd minute.
A trademark driving run by Dele Alli was unceremoniously halted by David Luiz but not before the England man had squeezed the ball to Eriksen who battered it past a diving Courtois from the edge of the area.
Chelsea gradually got a foothold and with the interval less than a minute away, Pedro produced a moment of magic, receiving a ball-in to feet to the left of the D, he turned one way then dragged the ball back onto his right foot and curled a delightful finish past the diving Hugo Lloris.
The Blues started more brightly after the restart and when Diego Costa drove to the byline, his low cross was bent around the Spurs defence to find Moses in acres of space on the right and the wing-back crashed the ball home via Eric Dier on the line.
It could have been 3-1 minutes later when a Costa cut-back from the right saw Marcos Alonso lean back and blaze over but despite pressure from the visitors for the last ten minutes, the Chelsea defence stood firm.