The type of tremelo you have while not absolutely necessary might help. Look fo writing on the metal part of the trem.
What gauge strings you use is also important.
You might have to remove the back plate and tighten up the springs. You can do this by turning the screws in the recess that are toward the neck. These are attached to a "claw" that will add tension opposing the string tension.
This is the real trick, and it takes paticence. You have to exactly balance the string tension (tuned up) with that of the springs.
My advice is to either block the trem (you don't like em anyway) or take the guitar into a reputable music store and pay to have it set up.
Good luck and let us know how you make out.