The Dutchman scored a penalty and missed one in the space of a minute as Tottenham struggled to overcome Bolton at White Hart Lane. Van der Vaart had initially scored the second penalty but was ordered to retake the spot kick because of encroachment in the area.
Despite the miss, Redknapp is confident Van der Vaart is the man to take penalties for Tottenham.
"I wouldn't have wanted to take him off it having taken the first two. He's such a confident boy, if I'd taken him off it and stuck [Jermain] Defoe on it he might have missed,” Redknapp told reporters.
"Rafa takes the penalties. We haven't got a lot of penalty takers. You wouldn't have the back four taking them, nor JJ [Jermaine Jenas], Wilson [Palacios], Lennon, [Peter] Crouch, it's hard to find.
"Rafa's the obvious choice really. You'd think Defoe would be but he's missed a lot.
"They've all got the technique but it's a different thing when you are doing it under pressure. Go and play golf and imagine doing it in the Open, it's a different game, isn't it?
"We can all walk up in training and do it. When England have failed [Frank] Lampard's missed, [Steven] Gerrard's missed, all those people you would put your life on.
"Rafa's got great technique, so has Defoe."
Redknapp believes that more players are missing penalties than they used to these days and he believes that goalkeepers are getting better at saving them.
He said: "It's difficult to know who can take them. [Roman] Pavlyuchenko has missed. People seem to miss more penalties than they used to.”
"There's more pressure and the keepers are sharp and quick. It's not like a gimme any more."