A machine (100) for filling containers (90) of a first type and for filling containers (95) of a second type comprises a carousel filler (1), a first device (11) for loading the containers onto the carousel filler (1), a second device (12) for removing the containers (90) of the first type from the carousel filler (1), and a third device (3) for removing the containers (95) of the second type from the carousel filler (1). The carousel filler (1) is equipped with a plurality of filling units (2), each comprising a plate (21) for resting one of the containers and a filling head (22) for filling that container. The first device (11), the second device (12) and the third device (3) are positioned in respective angular positions on a circumferential path of the carousel filler (1), the third device (3) being between the first device (11) and the second device (12). The third device (3) in an operating condition removes the containers on the plates (21) passing through the angular position of the third device (3), whereas the third device (3) in a non-operating condition allows the containers on the passing-through plates (21) to continue towards the second device (12).