Described herein is a cost-effective and time-efficient method for making UV-absorbing contact lenses. In contrast to the conventional method for making UV-absorbing contact lenses which involves copolymerizing a lens forming composition including a UV-absorbing vinylic monomer, a method of the invention involves dipping a contact lens in a solution of UV-absorbing polymer comprising carboxyl-containing monomeric units, UV-absorbing monomeric units and covalently bound radical-initiating moieties to form a UV-absorbing coating on the contact lens.