Described herein is a method for producing UV-absorbing silicone hydrogel contact lenses, which is free or substantially free of internal stress and also is capable of blocking ultra-violet (“UV”) radiation and optionally (but preferably) violet radiation with wavelengths from 381 nm to 440 nm, according to a photocuring technology, preferably according to the Lightstream Technology™. This invention also provides UV-absorbing contact lenses made according to a method of the invention.