Chelsea set up an FA Cup semi-final meeting with Blackburn Rovers thanks to superb second-half strikes from Andriy Shevchenko and Shaun Wright-Phillips.
Shevchenko scores his 13th goal of the season
After a poor opening period, Shevchenko fired in a left-footed shot, a goal quite breathtaking in its execution.
Just past the hour Wright-Phillips picked up Didier Drogba's chested pass to volley past keeper Paul Robinson.
Dimitar Berbatov won a penalty that Robbie Keane scored, but Chelsea held on comfortably to reach the last four.
Chelsea's victory means Jose Mourinho's side remain in contention to win four trophies.
Spurs are still involved in the Uefa Cup, but must be wondering why they will not be playing Blackburn given they were leading 3-1 in the quarter-final at Stamford Bridge.
Chelsea's defence had been uncharacteristically sloppy in that original tie, but there was no sign of such fragility on Monday.
The presence of John Terry, who had missed the first game, had much to do with that greater defensive solidity, while Mikel Jon Obi played well as a holding player.
Ricardo Carvalho brought down Berbatov to concede the penalty, but even after Keane's successful spot-kick, Spurs struggled to prise open the Chelsea defence.
The frustration for Spurs was that Berbatov as well as Aaron Lennon had such quiet games.
So defensively assured were Chelsea that Petr Cech did not have a save to make until the early stages of the second half, when he denied Pascal Chimbonda and Steed Malbranque in quick succession.
Like Cech, Robinson was similarly inactive in that disappointing first half.
Michael Ballack and Wright-Phillips tried their luck with long-range shots, while Pascal Chimbonda had to be alert in heading clear a Shevchenko cross.
Having not had a save to make, Robinson suddenly found himself beaten by those magnificent shots in the space of six minutes.
Shevchenko has had a difficult time since joining Chelsea, but his superlative goal was a timely reminder of why the club's owner Roman Abramovich was so keen to bankroll the Ukrainian's £30m transfer.
There seemed no danger to Spurs when Shevchenko entered the penalty area from the right wing on 55 minutes.
The Chelsea striker beat Steed Malbranque by cleverly checking his run, in the process switching the ball to his left boot.
He then arced a shot into the top corner with a simply unstoppable shot.
Wright-Phillips was next to enter the Chelsea shooting gallery, sending a left-footed half-volley past Robinson, after Drogba deftly chested the ball into the path of the England winger.
Tottenham: Robinson, Chimbonda, Young-Pyo Lee, Dawson, Rocha (Stalteri 84), Lennon, Zokora, Jenas, Malbranque (Defoe 64), Berbatov, Keane.
Subs Not Used: Cerny, Ghaly, Huddlestone.
Goals: Keane 79 pen.
Chelsea: Cech, Diarra (Ferreira 90), Ashley Cole, Carvalho, Terry, Wright-Phillips (Kalou 86), Lampard, Ballack, Mikel, Shevchenko (Robben 81), Drogba.
Subs Not Used: Cudicini, Boulahrouz.
Booked: Diarra, Drogba, Cech.
Goals: Shevchenko 55, Wright-Phillips 61.
Ref: M Atkinson (W Yorkshire).