A machine for canning tuna and similar food products comprises a conveyor belt feeder, a plurality of dosing chambers aligned with the feeder and formed in a rotor rotatable in a plane perpendicular to the feed direction, a mouth connecting the feeder to the dosing chambers, a blade to separate the product introduced in the dosing chambers from the bulk of fed product so as to obtain product cakes, shaping means suitable to shape the cakes into the desired shape and transferring means arranged at a second station reachable through a partial rotation of the rotor to transfer the shaped cakes into the cans carried by another rotor. The connecting mouth has a cross-section of substantially constant shape and the shaping is performed in the dosing chambers by shapers radially mobile along the arms of the rotor when the dosing chambers are still aligned with the feeder.