A device (2) for continuous infusions has a housing (4) in which an infusion appliance seat (6) is provided for receiving an infusion appliance (18) with at least one container (22) that can be pressed empty by means of a ram (20), which infusion appliance seat (6) extends along, a main axis of extent (AA) from a ram-side end (26) to an outlet-side end (28). The continuous infusion device (2) moreover has an actuator (30) for automatically emptying the infusion appliance (18), a drive (32) for moving a ram abutment/actuation element (24) of the actuator (30), and a control arrangement (72) by means of which a speed of advance of the actuator (30) is adjustable. Provision is made here that the main axis of extent (AA) of the infusion appliance seat (6) has a predetermined relief angle (W) in relation to a support plane (E) of the housing (4), and here the outlet-side end (28) is arranged above the ram-side end (26) of the infusion appliance seat (6).