A hat-trick from Jermain Defoe and strikes from Wilson Palacios and Robbie Keane saw the visitors overcome a disappointing Hull side, who could only muster up one goal through new boy Stephen Hunt.
Defoe came close for Spurs early on as the England international saw his clever chip from 18 yards dip just over the Hull crossbar.
Defoe did open the scoring on 10 minutes as a mistake from Hull skipper George Boateng allowed Spurs midfielder Tom Huddlestone to nip in and play a neat pass in to the ex-Portsmouth frontman, who found space to fire a left-footed piledriver into the bottom corner of the net.
The visitors were then 2-0 up minutes later as Keane found Palacios with space on the left-hand side of the box, allowing the Honduras international to pick his spot with a thundering left-footed strike.
Tottenham were then forced into an early substitution as keeper Carlo Cudicini came on to replace the injured Heurelho Gomes.
Against the run of play Hull grabbed one back on 25 minutes as a Hunt free-kick from 30 yards saw the ball evade everyone and bounce into right-hand corner of the Tottenham net to register the Irishman's second goal of the season.
However, Harry Redknapp's men restored their two-goal advantage just before the break as a ball from defender Alan Hutton found its way through the Hull defence and into the path of Defoe, who made no mistake from eight yards with a blistering right-footed strike.
Hull substitute Geovanni came close to pulling one back for the Tigers midway through the second half but the Brazilian's looping header was well tipped over by keeper Cudicini.
Defoe then came within inches of completing his hat-trick for Spurs but his left-footed shot from 12 yards whistled just passed Boaz Myhill's left-hand post.
Tottenham made it 4-1 on 78 minutes as Aaron Lennon sent in a curling cross from the right onto the head of Keane, who neatly sent the ball into the bottom corner of the net from close range.
Defoe then completed the rout and his third in injury time as the England striker pounced on a loose pass and sent the ball into the top corner with a thunderbolt from 18 yards.