Dimitar Berbatov's two headers helped Tottenham towards victory at White Hart Lane as West Ham boss Alan Curbishley suffered his third consecutive 4-0 defeat.
Berbatov netted both of his goals early in the first half of the Premier League clash, with hopes of a Hammers' comeback virtually ending when Luis Boa Morte was dismissed just before the break.
Gilberto came off the bench and added a third before Darren Bent headed a fourth during injury time.
Spurs head coach Juande Ramos has now completed a London treble this season, defeating Arsenal and Chelsea in the Carling Cup and now bitter rivals West Ham.
It also ended Spurs' run of back-to-back defeats ahead of their UEFA Cup trip to PSV Eindhoven.
But West Ham's slump continued, following 4-0 defeats to Chelsea and Liverpool last week.
Their poor run saw Curbishley wake up to reports of his job being insecure. His response was to pick an attacking formation that fans have been craving this season.
Dean Ashton and Bobby Zamora were paired up front but, despite the latter being unfortunate with an early chance, they made little impact throughout.
Zamora took advantage of a Paul Robinson fumble but saw his finish loop over off team-mate Boa Morte.
Going into the clash in 10th and 11th, both teams knew they would not move up or down the table with victory or defeat. With the Carling Cup securing European football next season, Spurs have been accused of neglecting league matters.
Despite this, the north Londoners were ahead after eight minutes, although Curbishley was protesting to fourth official Uriah Rennie near the tunnel and missed Berbatov's opener.
The Hammers boss was furious that Jonathan Spector, in place of injured Matthew Upson, had been penalised for a foul on Berbatov.
Tom Huddlestone swung over a free-kick from the right flank and Berbatov's header on the penalty spot skidded past Robert Green into the far corner.
The Spurs pair combined again three minutes later from the opposite flank with the same outcome. Berbatov's header this time beating Green at the near post.
It was too much for Freddie Ljungberg, who threw a water bottle to the touchline in disgust, while Alan Hutton was on the receiving end of a spiteful late tackle.
Huddlestone, creator of the first two, then almost added to the scoring when he got on the end of Aaron Lennon's cross, but his header was too high.
Boa Morte picked up his first booking after persistent fouling, and he was constantly battling with Hutton and Robbie Keane. Keane, in turn, angered Hammers fans with a gesture towards his own supporters acknowledging the recent Carling Cup triumph.
Steed Malbranque was the next to try his luck but his angled drive went wide of Green's post before Boa Morte received his second yellow card a minute from half-time for a foul on Lennon.
Huddlestone's effort went just wide early in the second half, while Ashton went over at the other end with a shot from the edge of the penalty area and Socceroo Lucas Neill tested Robinson from a similar distance.
Despite the visitors applying pressure, Spurs could have added a third through Keane and Lennon when they broke.
Gilberto was brought on for Malbranque just before the hour mark for his Premier League debut, and Bent was given a run in place of Keane.
The third came when Gilberto scored with a shot on the turn, with six minutes remaining, after Lennon had dummied a Pascal Chimbonda pass while Bent added the fourth with a stoppage-time header.
English Premier League
Tottenham 4 (Berbatov 8, 11, Gilberto 85, Bent 90)
West Ham 0