Harry Redknapp was delighted with his side's late comeback but was disappointed to find Spurs 1-0 down at half-time after dominating possession.
The Tottenham boss saw his side keep possession throughout the game, however, after a host of chances the visitors struck with just minutes before the half-time whistle through a Steven Fletcher tap-in.
Redknapp's men lacked fluidity in the first-half but made sure their chances counted when an inspired substitution saw Alan Hutton come on for an injured Younes Kaboul and the Scotsman turned the game on its head.
His surging run forced a Stephen Ward error to gift a penalty which van der Vaart expertly converted and then another substitute Roman Pavlyuchenko made it two.
Hutton pounced on a Wolves error to further compound Mick McCarthy's misery in a game which he would have felt the resilient performance from his Wolves side did not match the final score.
Redknapp said: "I wasn't at all disappointed with how we played. I was disappointed to be 1-0 down, obviously.
"But I couldn't criticise the players for the way we tried to play, the way we moved the ball around.
"I thought we did as well as we could and made opportunities. We just needed to stick one away.
"And when the chances came, it was important we tried to finish them."
Despite failing to convert several chances through poor finishing and expert stops by Wolves goalkeeper Marcus Hahnemann, Redknapp was pleased his side persevered.
"We stuck at it and that was good," he said.
"The subs all came on and played their part. Alan Hutton had a great second half.
"We haven't really seen Pav (Roman Pavlyuchenko) and then he scores.
"It was a great result for us."
Redknapp denied fearing the match was becoming Wigan all over again but admitted: "There was a point in the game when I thought we wouldn't win the game.
"I'd be a liar sitting here saying I always knew we were going to come back and win it."