The 27-year-old completed his £8million move to Spurs on transfer deadline day.
Van der Vaart said: “Four years at Spurs, for £8million, I can hardly believe it myself.
“It’s a pity I cannot now play against Ajax in the Champions League but I will get to face FC Twente.
“I am excited about playing in England. Whether it suits my style remains to be seen, but I think a good footballer can adapt and I am very proud of this transfer.”
He added: “The interest from Tottenham came very quick and I did not have much time to think.
“But I want to play football again and if possible every week, with a beautiful club. I’m totally happy.”