A machine for making liquid or semi-liquid food products includes a processing chamber for processing a basic mixture and including a stirrer and thermal treatment system operating in conjunction to convert the basic mixture into a liquid or semi-liquid product; an electronic drive and control unit; a dispensing device having a dispensing nozzle connected to the processing chamber to deliver the product; a support having a seat for housing a receiving container; a movement device for vertically moving the support between a vertical position away from the nozzle and a vertical position close to the nozzle; and a device for rotating the housing seat about a vertical axis. The electronic drive and control unit is operatively connected to the movement device and to the device for rotating the housing seat to drive them according to a predetermined law of motion.