Abstract: A method for the continuous production of semifinished parts for three-dimensional snacks made from potatoes, cereals or the like, comprising, after preparing two layers of a gelled semifinished compound of the components and/or other starchy ingredients, the step of cutting the layers in consecutive segments along parallel lines with cutting edges which act with a relative motion constituted by a translatory motion which is substantially perpendicular to a portion to be cut, combined with a translatory motion which is parallel to the cutting lines. The method also includes a step in which the layers are superimposed and die-cut with suitable punches, separating a grid-like skeleton from the snacks, each snack being formed by two perimetrically joined layers.