A distribution system for distributing dosed amounts of a treatment substance to a plurality of injectors of an egg injection device, and to an injection device equipped with such a distribution system. The distribution system comprises at least one syringe pump comprising an actuator for actuating the piston of a syringe, a discharge tube connected to the outlet orifice of the syringe, feed tubes connected in parallel to the discharge tube via a valve system, each feed tube being intended to be connected to an injector, and a controller capable of controlling the actuator and the valve system for distributing dosed amount of substance contained in the chamber through the feed tubes, to injectors.
