Dutch international fired home from the edge of the sixth minute, and then converted worth taking twice the second time giving the half.
Victory lifted the red and Spurs a point of fourth place and eased the pressure on manager Rafael Benitez after the early exit from the Champions League and FA Cup
The importance of the match in Liverpool four aspirations were presented yesterday by Benitez and his players responded in fine style.
It was a game the Reds could not afford to lose, after leaving two points for the final tie at Stoke on Saturday and did not disappoint audiences delighted Anfield.
There was a warning to the memory at the beginning when Jose Reina spilled a Gareth Bale cross under pressure from the former Liverpool striker Peter Crouch, but he regained the ball with courage to face the challenge of Jermain Defoe.
Reina looked to hoist a long kick down field that Kuyt hit back for Aquilani, plays in the hole behind the striker.
closely monitored the Italian passed Michael Dawson, who brought down the quarterback, but the ball rolled Kuyt on the edge of the penalty area and fired low past Heurelho Gomes in right 'to give his team the lead.
Jermaine Jenas has been booked in 27 minutes to reduce Philipp Degen, when he drove over the median line, but Liverpool failed to make effective kick.
A few moments later, Defoe was lucky to escape only to talk about referee Howard Webb after a dive, and stands a foot Degen.
The Swiss international has been at the end of treatment even harder on 34 minutes when the bullet hit heads with makeshift midfield, which led to the defense of Wales a warning.
Javier Mascherano became the first Liverpool player to be booked when he lost possession and then slipped into the Crouch.
In the header of the first half stoppage time corner of Albert Riera Kuyt Inswinging was arrested by the yards of line Bale and Martin Skrtel opened the rebound.
Soon after, Luka Modric shot was saved low to his left and Reina.
Liverpool have made a season for not hanging conduit, and they almost gifted Spurs an equalizer just after the restart.
Sotirios Kyrgiakos dithered on the ball before surprised Reina with a short pass back to goalkeeper immediately put under pressure from Defoe.
Fortunately, a Spanish striker of Tottenham was sentenced to be dirty to him seconds before rolling the ball Crouch unguarded net.
Wilson Palacios was one for a laptop to go to topple Lucas Webb, as he tried to run through the Spurs defense in midfield.
Riera almost doubled Liverpool lead in 52 minutes when his header from Jamie Carragher's cross beat Gomes, but fell again the goal.
Given their recent habit in the last minute the hosts desperately need a second goal to give them a cushion, but as the game went without a Spurs were safer.
Danger first blow came when Jenas' 25-meter Reina was going in the wrong direction first stretched out his hand again.
After sending Vedran Corluka and Alan Hutton, Spurs boss Harry Redknapp replaced by Niko Kranjcar then ex-Reds striker Robbie Keane.
Liverpool should have been easier for them on 66 minutes when Kuyt Dawson flew halfway to race clear but he chose to play in Degen on the right instead of shooting and most affected by his passing.
Liverpool continued to press and Kuyt fly on the pole after Degen on a free kick deflected Aquilani, while Riera was narrowly wide with an inlet 25-yard left-foot shot. Spurs, however, continued to threaten and Hutton spectacular volley wrapped around the right post Reina.
Substitute David Ngog almost certain victory in a matter of minutes after coming on when he replaced fellow Sebastien Basson, but sent a shot in the face of goal. However, he won a penalty in the first five minutes of injury time when Basson was shot down.
Kuyt scored the first effort can not be ordered to retake by Webb, but the Dutchman held his nerve to send Gomes in the wrong direction and Liverpool in the right direction at the table.
Benitez: Reds are upward curve
Manager Rafael Benitez has warned his rivals Liverpool for Champions League qualification that his team will only improve in the second half of the season.
"It was important that we all here because we had to reduce the gap and stay in the race,''said the Spaniard." I'm really happy with the attitude of the players, we showed character.
"Usually, the last five years we do better in the second half of the league. Everyone knows Liverpool are a good team and it was just a matter of time to start winning games and show our quality. Today, some of them (opponents Liverpool) know the race will be four teams.''
Benitez praised Kuyt to score goals at each end of the match: "Dirk is working very hard, he scored four goals today,''said the Liverpool boss." Always his commitment is 100%, so we're really happy for him too.
"It was important for us to score early. We were playing well, but the first time we had no control, even though we had one more chance. The second time was unclear. After the first goal they (Tottenham), was to go ahead and left the room, which was good for us.''
Tottenham manager Harry Redknapp has confirmed his team had fought for Liverpool, but admitted he was baffled by the decision, which ruled out Peter Crouch's goal early in the second half.
"I'll probably stay home tonight reading the rule book for a couple of hours and see what the rules are really,''said the Spurs boss." The referee or the linesman seemed to know - probably called a friend.
"Is it active, it is the second phase, and there are so many rules, but if it was offside was offside, I have not really watched it too, but it makes no difference now ''...
Redknapp felt the side had wasted an opportunity to show the fourth and gave the race open. "I came here expecting to win tonight so I was really disappointed. We missed the opportunity,''he added.
"We needed a good start to reach the silent crowd, but scored an early goal. To be fair to the Liverpool who have worked very hard and we struggled to get our game going.
"It (the race for four above) is open in Liverpool, Manchester City, Aston Villa, Tottenham -. It's a draw, we were in a good race, but only because we lost a game that does not work. Say we are out him. It's all to play forever.''
