A method for cutting out a panoply of parts. This cutting-out method includes producing data relating to points defining the contour of each part and to the position of each part in a Cartesian frame of reference of the panoply, grouping the parts together into at least one subset, each subset embodied by a box being considered as a single part; grouping the subsets into at least one set, each set embodied by a box being considered as a single part; establishing an order in which to cut out the parts from the subsets and sets defined respectively a cutting-out step in which the cutting-out tool moves from part to part in the cutting-out order.