A method and apparatus are provided for crushing and sorting cans to collect waste cans in an optimal weight-to-volume ratio are provided. The method includes determining whether or not an object is supplied to a can crushing device and whether or the supplied object is a can by a proximity sensor installed at a can supply unit, and when it is determined that the supplied object is a can, opening an opening/closing plate installed at the can supply unit, thereby supplying the can into a crushing/sorting/discharging unit, and crushing/sorting/discharging for crushing the supplied can by a crushing plate installed in the crushing/sorting/discharging unit, sorting the crushed can using an electromagnetic force applied to the crushing plate by electromagnets mounted on the crushing plate, in accordance with the material of the can, and then discharging the sorted can.