Kickflip - Do an ollie, use your toe to flip the board one full rotation and land on it. Next to the ollie a kickflip is the biggest skateboard trick there is. Every skater wants to do it. Flip tricks are what makes skateboard tricks popular. When you see someone jump and flip the board using only their feet. It is something just a little magical.
Invented by Rodney Mullen who called it an ollie flip or maybe even a magic flip. You can do double flips and combine this trick with most any other skateboard trick.
Ollie, frontside 180 ollie, backside pop shuvit
This is a fundamental trick and may take some time to get. At first it will seem strange to leave the board while in the air. You will also need to be able to stay in the air for a while as the board flips.
I recommend learning the backside pop shuvit and 180 ollie first. Learning these tricks first will be easier. They will develop timing and coordination in your feet. 180 ollies will give you that extra airtime needed. Pop shuvits will give you the confidence to land on the board.
Put your back foot sightly to the heelside of ollie position. If you put your foot to the side you are flicking off. It helps get the board going.
Put your front foot with the ball of the foot in at the center line of the board. Angled 45 degrees from perpendicluar. You want to flick off at an angle toward the part of the deck where the concave and the nose meet.
Once you get this trick down you can move your foot further and further towards the toeside of the board. This will give you a smoother flip and a slower more floaty look. A style plus.
Like any flip trick popping the kickflip fakie will be easier to flip but harder to control. I find fakie flips to be a super fun trick.
Rodney Mullen talking with Tony hawk about inventing the magic kick flip.