A method for the continuous production of a thin, crisp, shredded wheat snack comprising supporting a laminate of four to six cooked, sheets of wheat on a conveyer belt, passing the supported laminate and belt between at least one pair of counterrotating rolls to compress the laminate while avoiding substantial movement or slippage of the laminate relative to the belt which would substantially disrupt or distort the shred pattern of the laminate as it is compressed, the thickness of the laminate being reduced by at least about 35% while retaining a visible shred pattern, and baking the compressed laminate to obtain a baked snack having a crisp, texture and shredded appearance.