Depending on the leg u are using for the high kick the key to it is the flexabilty in the opposite legs hamstring and glute as well as the kicking legs groin.
The Opposite leg is the pivot and Supporting leg and will strain and stretch your hamstring and glute as u turn your hips to attempt a high kick. The groin on the kicking leg will allow the kick to go higher as well.
Take it easy to begin with as many have suggested. Build up your flexabilty and also pay attention to your technique.
Swivel the pivoting leg's foot so that it turns on a 90 degree angle or more to take pressure off your knee and generate more power.
Explanation in steps
1. Ok standing in a traditional stance left foot forward right foot back.
2. Back foot (right) comes up off the floor to execute a right foot kick
3. The hips swivel in order to acheive that round whipping motion of a round house
4. at the same time the left front foot swivels as well with the hips and turns with the toes pointing to your right at a90 degree angle ( or slightly more or slightly less depending ont he power or hieight of the kick or where your opponent is reletive to you....in front slightly to the left or right...these will all change your body positioning.)
Cro Cop uses a number of diffrent high kicks one of them does not seem to involve a huge swivel in his hips or feet.This kick is more of a hybrid beween a Inside Cresent and Round house kick. Its better adapted for close range striking withthe feet to the head.