Arsenal took up the challenge and Van Persie was twice a threat in the immediate aftermath of Bentley's goal, forcing Heurelho Gomes into a save low down and then shooting just wide.
Gallas then shot over after a Gomes fumble before both Theo Walcott and Cesc Fabregas tested the Spurs keeper.
An Arsenal equaliser looked on the cards, but Spurs will have been deeply unhappy about the manner in which it arrived eight minutes before the interval.
Spurs felt Bentley had been fouled by Fabregas in the lead up to an Arsenal corner, and their misery increased when Gomes made an awful attempt to deal with Van Persie's corner and Silvestre headed home.
For all Arsenal's trademark pretty passing, they were making inroads at set pieces and scored from another less than a minute after the re-start.
Van Persie whipped in a free-kick from the right and Gallas rose to glance in a header that Gomes could only touch on its way in.
Bentley tested Almunia from long range again before Adebayor extended Arsenal's lead after 64 minutes.
Wenger angry and disappointed after draw
Van Persie was the creator with a superb pass that let in Samir Nasri, and when he lifted the ball over Gomes, Adebayor beat Alan Hutton in a straight race to poke home from almost on the goal-line.
It was looking very ominous for a deflated Spurs side, but they were thrown a lifeline three minutes later when Almunia fumbled Huddlestone's shot and substitute Bent turned in the rebound.
But any hopes Spurs harboured of a revival appeared to be snuffed out within two minutes, when Hutton gifted possession to Adebayor, who set up Van Persie for a powerhouse finish.
When Jenas curled in a clever finish with a minute of normal time remaining, it looked like it would provide nothing more than an anxious finale for the Gunners.
But with seconds left of the four minutes of injury time, Luka Modric's shot was deflected on to an upright and substitute Lennon was in the perfect position to slot in the rebound and spark wild scenes of celebration from the Spurs contingent.
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