Liverpool struck three times after the break to seal an impressive victory.
But Spurs were left to regret an astonishing miss from Jermaine Jenas seconds before Mark Gonzalez gave Liverpool a 63rd-minute lead.
Jenas somehow missed from a matter of inches from Edgar Davids' cross, and Spurs were punished when Gonzalez scored after Craig Bellamy hit a post.
Dirk Kuyt slammed home the second after 73 minutes and John Arne Riise hit a spectacular third in the dying seconds.
Liverpool chose to rest Jamie Carragher and recall Sami Hyypia, while Spurs boss Martin Jol gave a rare outing to the strike partnership of Robbie Keane and Jermain Defoe, with Dimitar Berbatov out injured.
Xabi Alonso, whose 60-yard strike stunned Newcastle in midweek, tried his luck from closer range after 12 minutes, firing a low shot just wide through a packed penalty area.
But it was Spurs who should have gone ahead 13 minutes later when Ledley King somehow failed to get a touch to Danny Murphy's free-kick only six yards out with the goal at his mercy.
Liverpool came even closer when Gonzalez's corner deflected off Pascal Chimbonda onto an upright with Paul Robinson beaten.
The home side had penalty appeals turned down on the stroke of half-time when King appeared to handle and then haul down Bellamy as he raced into the area.
But referee Howard Webb got the decision correct as King had timed his tackle to perfection.
Liverpool carried all the momentum after the break, forcing Jol into a change after 61 minutes, sending on Davids for Teemu Tainio.
And the move should have paid swift dividends as the Dutch veteran raced down the left flank and set up Jenas inside the six-yard box, but he somehow slid the ball wide when it was easier to score.
Liverpool made Spurs pay heavily for Jenas' shocking miss, taking the lead within seconds.
Steven Gerrard's cross found Bellamy right in front of goal, and even though he managed to conjure up a miss every bit as bad as Jenas by hitting a post, the rebound fell kindly for Gonzalez to beat Robinson from an angle.
And Spurs' afternoon got even worse as Liverpool doubled their advantage with 17 minutes left.
Substitute Luis Garcia, on for Bellamy, threaded a pass through to Kuyt who provided a powerful finish as Spurs waited for an offside flag that was never going to come thanks to dreadful positioning by Benoit Assou-Ekotto.
Liverpool were in the ascendancy, and just to confirm this was not going to be Spurs' afternoon, Riise fired a trademark thunderbolt past Robinson in the dying seconds.
Phil McNulty, BBC Sport
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