Luis Garcia's strike earned Liverpool a third away win this season to take them up to fourth as Spurs were left to rue a host of missed chances late on.
Garcia celebrates his strike, his third league goal of the season
The winner owed much to an error from Didier Zokora, which led to Spanish striker Garcia sweeping in after Steven Gerrard had been gifted possession.
Dirk Kuyt also came close, but a late Spurs assault so nearly bore fruit.
Steve Finnan hit his own bar and Hossam Ghaly twice contrived to fire wide with the goal gaping, but the Reds held on.
It represented Spurs' first home defeat in 13 games, but Martin Jol will wonder how his side did not emerge with at least a point after a thrilling conclusion to the game.
However, the hosts, disjointed in the absence of skipper Ledley King, did themselves few favours as they took an age to get into the match.
Despite Mido blazing wide from 18 yards when well-placed on 10 minutes and an effervescent performance from Jermain Defoe, it was Liverpool that edged the first hour.
Robinson had to save low twice from Craig Bellamy efforts and Kuyt curled wide when well-placed, but the half looked to be drifting towards stalemate until Garcia's intervention.
After a Liverpool attack had broken down, Zokora spilled a pass to Gerrard and, after exchanging passes with Kuyt, the midfielder's effort bobbled to Garcia who swept home left-footed.
The second half started much like the first, with the visitors looking dangerous on the break as the hosts struggled to find their rhythm.
Spurs stood firm though, despite Kuyt and Steven Gerrard going close, and, with 20 minutes remaining, they launched their assault.
Ghaly shows his disbelief after missing another chance late on
With the rain lashing down, silky football made way for harem-scarem stuff, and Tottenham camped themselves in the opposition half.
Dimitar Berbatov's arrival lifted crowd and team alike and the Bulgarian almost helped bring the hosts level on 75 minutes, his clever run and pass ending with Steve Finnan rocking his own bar with a defensive header.
Minutes later, Spurs broke clear again, this time Ghaly contriving to blast wide from three yards with Reds keeper Pepe Reina stranded on the deck.
It was an enthralling conclusion, with the visitors still looking good on the break, but Tottenham were left to rue their profligacy once again when Ghaly failed to poke home awkwardly when Defoe's strike was only parried by Reina.
There was still time for the hosts to see Gerrard's own 'goal' correctly ruled out for offside and Berbatov to finish tamely from 12 yards when clear but Liverpool held on to reignite their Champions League push.
Tottenham manager Martin Jol:
"We feel gutted. Neither side played particularly well but it was an even game and we conceded such a soft goal.
"But it was us that took the initiative in the second half and deserved so much more from the game. Berbatov, Ghaly, Defoe all had chances, and that's not including us hitting the bar.
"I can only recall one chance they had and that makes the defeat all the more gutting.
"As for Ledley King, he has bruising on his foot - it's a minor injury. He won't play on Monday but it's nothing major and nothing to do with a previous knee injury."
Liverpool boss Rafael Benitez:
"That was a fantastic effort against a difficult team. I felt we controlled a lot of the play, soaking up pressure and trying to hit them on the counter attack.
"They pushed us a lot with long balls, in fact the way they played should prepare us quite well for the Bolton game on Monday, but we held on and the win's the most important thing.
"I'm not sure yet if Craig Bellamy will play on Monday, he felt his hamstring and I took him off as a precaution."
Tottenham: Robinson, Chimbonda, Dawson, Davenport, Lee, Ghaly,
Huddlestone, Zokora (Murphy 56), Malbranque, Defoe,
Mido (Berbatov 59).
Subs Not Used: Cerny, Ziegler, Gardner.
Liverpool: Reina, Finnan, Carragher, Agger, Riise, Luis Garcia,
Alonso, Gerrard, Aurelio (Gonzalez 79), Bellamy (Pennant 49),
Kuyt (Crouch 66).
Subs Not Used: Martin, Paletta.
Goals: Luis Garcia 45.
Ref: M Halsey (Lancashire).