An apparatus for filling cans with an uncarbonated liquid fill includes a rotatable rotor, can holders, filling elements, a can-pickup station, a can set-down station, and either a movable clamping element or an underpressure acting on a can's bottom. The filling operation is either pressureless filling, free-jet filling, or hot free-jet filling. During a filling operation, the rotor moves a can from the pick-up station to the set-down station. Either the clamping element or the underpressure then fixes the can to either a circumferential side with respect to the rotor or a filling-element support.