Chelsea had their moments but Ashley Cole wasted their best chance of the match in 73rd minute by firing wide from eight yards.
Harry Redknapp took less than 24 hours to deliver what Tottenham wanted all season – a victory to kick-start their campaign.
Roman Pavlyuchenko and Darren Bent grabbed the goals in a 2-0 win over Bolton at White Hart Lane but all eyes were on Redknapp after his appointment to succeed Juande Ramos as Spurs boss.
They are still bottom of the table but have made up ground with other strugglers and crucially have a morale-boosting first league win of the season, at the ninth attempt.
Bolton, who had Gavin McCann sent off, gave Spurs nervous moments but there is enough for Redknapp to work with when he gets to work this week, with key contributions coming from players who struggled under Ramos.
Gabriel Agbonlahor further enhanced his claims to be a part of Fabio Capello’s England plans by creating two goals and scoring another in Aston Villa’s 4-0 triumph at Wigan.
Agbonlahor’s pace and skill was too much for Wigan as he won a controversial first-half penalty which Gareth Barry converted and then stole the show in the second half with a predatory strike and a brilliant assist.
In the 57th minute, the Birmingham-born striker, 22, bundled home a close-range shot and then embarked on a delightful run and inch-perfect cross for substitute John Carew to head home five minutes later.
Substitute Steve Sidwell curled home a superb fourth goal in the last minute but the scoreline was harsh on Wigan, who largely dominated the first half, but the second half belonged to Villa and Agbonlahor in particular.
British record signing Robinho completed his first Manchester City hat-trick to take sorry Stoke apart 3-0 at Eastlands.
The £32.5million Brazilian opened his account after just 14 minutes, then added another from Daniel Sturridge’s excellent pass just after the re-start.
But he saved the best until last, finishing off a flowing four-pass move 17 minutes from the end with a clinical finish past Thomas Sorensen.