Welsh sensation is "just enjoying his football."
Bale was the provider for Peter Crouch and Roman Pavlyuchenko as Spurs turned in a performance of the highest caliber to defeat the Champions League holders.
And Van der Vaart, who opened the scoring with a first half goal, was happy to place the Wales international amongst the best in the world after the game.
"He's great, I think he's one of our best players and every week everyone is scared of him," he told Sky Sports.
"Maicon is one of the best defenders in the world and I think he killed him today. We have to keep this guy.
"I think it's great. I think we played fantastic. 3-1 against the Champions League winners, so it's a great feeling.
"[It's] a great feeling, a great night. It's a special night for the fans, for us, but it's just a game and only three points and now we have to keep on going."
The Dutch playmaker, who has now scored six goals for his new club, was relieved not to see the assistant's flag raised as he put Spurs ahead in the first half.
He said: "I thought it was offside, I was happy that I wasn't and it was a great ball from Luka [Modric] and a good start from us.
Van der Vaart was replaced at half time by Jermaine Jenas after aggravating the hamstring twinge that forced him out of the defeat to Manchester United, but is hoping to shake the injury off quickly.
He added: "I think I need a few days off and I hope this is not that bad. It was good enough for 45 minutes today."
Meanwhile, Spurs hero Bale played down his sensational performance and current form, attributing it to hard work, and relishing every minute on the pitch.
"I just feel confident on the ball at the moment," he said. "The team's playing well, we showed that tonight and in recent games, and it lets players like me and Azza [Aaron Lennon] to run at defenders, which is good.
"I'm just enjoying my football, trying to do what I do best.
"I think just being given the chance and learning in games and training. I always knew I was capable and hopefully I'll continue to do that.
"I think we learned from Werder Bremen, which was our first game. We learned from that, and we showed that tonight."
Tottenham are now top of Group A, and can secure qualification with a victory over Bremen at White Hart Lane.
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