Dimitar Berbatov's two headers helped Tottenham towards victory at White Hart Lane as West Ham manager Alan Curbishley suffered his third consecutive 4-0 defeat.
Berbatov netted both of his goals early in the first half of the Barclays Premier League match, 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.
Spurs head coach Juande Ramos has now completed a London treble this season, defeating Arsenal and Chelsea in the Carling Cup and now rivals West Ham.
Dean Ashton and Bobby Zamora were paired up front for West Ham 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.
CONSTANTLY BATTLING
Going into the encounter in 10th and 11th, both teams knew they would not move up or down the table with victory or defeat.
Spurs were ahead after eight minutes, although Curbishley was protesting to fourth official Uriah Rennie near the tunnel and missed Berbatov's opener.
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.
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.
Steed Malbranque was the next to try his luck but his angled drive went wide of Green's post. Green also saved a Berbatov volley when another Huddlestone set-piece caused problems.
Boa Morte received his second yellow card a minute from half-time for a foul on Lennon.
COMFORTABLE VICTORY
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 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.
Bent then added the fourth with a stoppage-time header to complete the comfortable victory.