A method and a direct-printing machine for printing on containers of different types of materials in a direct-printing process, wherein containers of a first type of material are conveyed by means of a conveyor and printed on, in several layers, with a plurality of printing units by means of direct-printing heads with a first basic ink compatible with the first type of material (102) and, on top of the first basic ink, with at least one colored ink. The first basic ink may be exchanged for a second basic ink, which is compatible with the second type of material, when a change to containers of a second type of material takes place, and the containers of the second type of material may then be printed on, in several layers, with the second basic ink (105) and, on top of the second basic ink, with the at least one colored ink.