Salt the original hash as mentioned by others. Just a few pointers here:
Salts are better the longer they are. Also if they contain more then just [a-z0-9] but length is better first of all.
If someone already has a copy of your DB and you rehash the same passwords with salt, the rehash the old hash with salt will not work. Instead you really should force users to make a new password.
You should match new passwords (and passwords to be salted) up against various lists of the most commonly used passwords. These are used in "brute force" attacks. Prompt/force the user to change the password.