Cabbage can be shredded a number of different ways, but the easiest method is to shred it in a food processor with the shredder attachment. Just cut sections off a head of cabbage that can be pushed through the feeding tube of a food processor. Shredding cabbage using a food processor takes mere seconds! You can also shred cabbage by hand using a sharp knife to slice thin sections of a head of cabbage or you can buy packaged pre-shredded cabbage.