The Tottenham boss believes he now has the right blend of forwards to make a determined challenge for European places next season.
"(Crouch) has joined the club. He has had a medical and everything was fine,'' said Redknapp. "We now have four strikers as it looks like Darren Bent could move. I believe he is close to doing a deal with Sunderland.
"He gives us a bit of a different option. We now have four top strikers which is what you need at every club and so I am delighted to have Crouchy. He is different to almost anyone else in the league in terms of his size and the way he plays the game, so I am pleased to have him.
"With him, Robbie (Keane) Jermain Defoe and (Roman) Pavlyuchenko we have a good strikeforce.''
With Redknapp now seemingly happy with his options up front he may now switch his attention to a defence which has been ravaged by injuries so far in pre-season.
That leaves Redknapp's options limited with skipper Ledley King yet to kick a ball this summer while Pascal Chimbonda and Dorian Dervite featured in central defence in the 2-0 defeat to Celtic at the Wembley Cup at the weekend.
"The defence has not improved,'' he said. "We obviously have the injuries. Jonathan Woodgate has gone to America to see about his injury while Michael Dawson had an injection in his Achilles tendon.
"Hopefully he will be fit in about four weeks but it means he will miss the start of the season and therefore we are very much relying on Ledley.''