Spurs ended an unwanted run of five league games without a win in a good performance against the Welsh side, with Bale and Van Der Vaart also finding their top form once more
First blood went to the home side when Rafael van der Vaart converted after good work from Gareth Bale, but the Welsh outfit hit back after the break with another fine goal, this time from Gylfi Sigurdsson.
But the hosts regained the lead after scorer turned provider when Adebayor headed home from Van Der Vaart's corner. The former Gunner then nodded past Vorm again to ensure Harry Redknapp's men moved level with his former club.
Redknapp made four changes from the side that beat Bolton in their FA Cup replay on Tuesday; Brad Friedel, William Gallas, Younes Kaboul and Sandro came back into the starting lineup. Aaron Lennon was back from a hamstring problem and started on the bench.
As for the visitors, Brendan Rodgers replaced Steven Caulker – who was ineligible to face his parent club – with Garry Monk in his only change to the team that were beat by Everton last weekend.
The opening quarter of an hour included a flurry of chances for each side, firstly with Van Der Vaart shooting wide after Emmanuel Adebayor knocked back Luka Modric's neat cross.
Then the visitors went close through former Spurs midfielder Wayne Routledge, the 26-year-old's snapshot just missing left upright.
Adebayor was the next to miss the target – Bale was allowed space to stretch his legs on the left flank and proceeded to whip the ball across the face of the box however the Togo couldn't direct the ball goalwards after sliding in at the near post.
Back at the other end, Swans fullback Neil Taylor had an arguable shout for a penalty waved away. The Welshman got goalside of William Gallas, who then attempted to pull back the opposing defender – nothing was given, and in truth there were minimal appeals, as Taylor got his cross away, which was nearly deflected past Friedel.
The hosts did finally bag the opener just inside the 20 minute mark, through Van Der Vaart. Bale, who had been enjoying some wide open space on the left flank, again ran free on the wing before putting the ball into the box, Ashley Williams attempted to clear but ended up putting it on a plate for the Dutchman to calmly slot home with a curling finish.
Tottenham was more reserved then one might have expected them to be, and stayed solid in defense. The North London side pressed its traveling opponents each time they lost possession, and Scott Parker put a good shift in as he broke up a number of Swansea attacks.
Van Der Vaart remained an influential man for Spurs and half an hour in they went close when his corner was met with an almighty header from Kaboul. The defender was a fair distance out but the effort required Michel Vorm to move quickly before parrying away.
Redknapp's men continued to search for a second goal before the break, and it was Bale who went the closest after swinging a boot at Modric's knock down from Benoit Assou-Ekotto's ball in, but it rose over the bar. The Croatian playmaker later wasted a chance of his own when he decided to shoot instead of threading Adebayor in, which was a much better option.
Throughout the half Swansea managed to put together some neat passing, with Scott Sinclair showing moments of class, however the former Chelsea man was crowded out and fouled early by the home side in a successful attempt to stop the Welsh side getting into its flow.
Shortly after the break, Sigurdsson forced Friedel into a making an outstanding save. The Swans midfielder turned sharply before producing a left-footed strike that the American showed great agility to tip away from the top corner.
Apart from that chance there was little action for the first 15 minutes of the second period, with both sides largely cancelling each other out as they did for most of the opening half.
However, just before the hour mark Sigurdsson, who had scored five in his last four away games before the clash at White Hart Lane, added to his season tally. The ball fell to the Iceland international after good holdup play by Routledge and he made no mistakes this time, firing a delightful half-volley from outside the area past the scrambling Spurs keeper.
Spurs looked for a speedy return and went close six minutes after the equalizer. Bale again caused trouble on the left touchline and delivered a dangerous ball into the middle, Van Der Vaart beat his man and managed to direct a powerful header towards goal only to be denied by a good near-post save from Vorm.
Bale and Adebayor also tested the the Swans keeper soon after, but both failed to get good enough connections to pose any real threat to the Dutchman's goal.
The hosts were looking the more likely to score again, and if it was not for a crucial interception from Williams, after a driven low cross from Bale, Adebayor would have found that goal.
However, the Togo forward did not have to wait long to ripple to net. With just over a quarter of an hour left on the clock Adebayor rose above the pack to head Van Der Vaart's corner past a helpless Vorm.
In truth there were little signs of reply from Swansea, with credit for that going to a solid display from Redknapp's men.
Spurs went on to see out the game comfortably and even had time to grab a third.
Bale, who looked fantastic all day, ran at the defense before playing Lennon in down the right flank. The Englishmen then crossed for Adebayor to find the net with his second headed goal, securing the points with under five minutes left to play.