Bale has been outstanding for Spurs of late and has attracted reported interest from other clubs but Redknapp insists the 20-year left wing back will be staying at White Hart Lane.
"We're looking to build a team here. We wouldn't be looking to sell players like him. He's the future of the football club.
"You've got to keep your best young players here. He's part of that.
"Someone's always got to link someone with somewhere. There's no chance of it. I don't make those decisions but I know the chairman would not want to be selling him.
"We're a club that is looking to build a new stadium, a new training ground. We're a club that wants to go upwards and forwards. We're not into selling a player like Gareth Bale, that's for sure.
"His game has gone up so many levels this season. He's got stronger, he's a fantastic athlete, great ability. He can do everything.
"He's got the ability to run all day. He's grown up. He's still only a boy, but physically he has got stronger this last year and he's looking as good as any left-sided player in the country.
"The ability to run like he does is amazing. He runs 60 yards, recovers, runs 60 yards again, recovers, runs 60 yards, he just doesn't stop.
"When you are playing against him it must be very difficult because he just keeps going at you and going at you. Eventually, unless you are very fit, you are not going to run with him for 90 minutes."