In a device for pumping meat-containing products, such as pieces of meat, meat paste and meat pulp (dough), it is aimed at avoiding problems of the meat forming bridges in a feed space, of meat remaining in the device during a too long time, of too much churning up of the meat and to provide a simple device adapted to discharge at will a continuous meat discharge flow under constant pressure or at a constant flow rate. Thereto, there is a feed space with means for feeding the meat under pressure to one of a number of cylinders with reciprocating pistons or the like, acting in parallel, with a controlled valve in the delivery line between each piston and a common discharge duct. Several feed means are proposed, depending on the application of the devices for pieces of meat on the one hand or for paste or pulp.