Dutch midfielder Rafael van der Vaart fired Spurs into a ninth-minute lead with a fierce shot into the top corner from the edge of the box.
Luka Modric then struck home a 56th-minute penalty which had been controversially awarded by World Cup final referee Howard Webb.
Chelsea had seen their slim hopes of retaining the title ended by champions Manchester United’s 1-1 draw away to Blackburn Rovers on Saturday, but they responded by going ahead as early as the second minute through defender Branislav Ivanovic at Stamford Bridge.
However, Newcastle United equalized eight minutes later through midfielder Jonas Gutierrez.
Chelsea regained the lead seven minutes from time when a mistake by Newcastle goalkeeper Tim Krul, who misjudged a Frank Lampard free-kick, allowed Brazilian defender Alex to head in at the far post, but Newcastle defender Steven Taylor nodded in from close-range shortly before the final whistle.