The invention relates to a machine for forming groups of products that arrive in a line, separated on a feeding conveyor (2), which includes vertically separated collectors (4) connected to chutes (8) that are arranged transversely relative to the feeding axis, said chutes (8) each comprising a mobile carriage (7) that supports a collector (4) by means of an actuator (11), said carriages (7) and actuators (11) being vertically adjacent and controlled by a programmable automaton (17) suitable for controlling the cyclic polygonal movement of each collector (4). The means for controlling the collectors (4) offer the possibility of organizing the capture of the products and, in particular, of selecting a number of collectors (4) suited to the group forming rates and/or the type of products (1) to be formed into groups.