Take up skydiving and then BASE jumping. I too was afraid of heights, then one night I was on a scaffold climbing 300 ft in the air. I thought then, you know this isn't scary anymore.
Skydiving is a good way to ease into it, because you're so high it doesn't have the immediate danger that being lower to the ground, but relatively high does.
I am afraid of heights, even when I am not afraid of falling. I dislike being on a high balcony even if I am ten feet away from the edge, with a trustworthy railing there. That's the way my body works - the fear is left over from more primitive times, before high places had windows and railings.
I've been complaining about this for years. I want a railing that will stop me from falling over the edge if I get into that situation, not one that will merely ensure I go over headfirst.
I'm afraid of dying as the result of a fall from significant height, to be clear. Skydiving with a parachute? No sweat. Bungie jumping? Uncomfortable, but not too bad. Being anywhere near the edge of a 40 foot cliff? My palms are made out of water.
there is a way to confront the fear. just find an activity that involves heights, but with other people and safety equipment. like caving for example, like this (I was there): http://www.youtube.com/watch?v=x9ichMz2sCM
Skydiving is a good way to ease into it, because you're so high it doesn't have the immediate danger that being lower to the ground, but relatively high does.