A packaging machine for closing containers (5) is provided having a supply device (1, 2) for supplying containers (5) to be closed; a removal device (11) for removing closed containers (5''); and a closing device (25) between the supply device (1, 2) and the removal device (11). The closing device (25) is arranged lateral of a main transport path (8) of the containers (5) from the supply device (2) to the removal device (11) and a device is provided which transports at least one container (5) to be closed into the closing device (25) by means of a linear motion while transporting at least one closed container (5'') out from the closing device (25).