A machine for coating a transparent substrate for the production of display screens comprises a coating chamber that has a modular design. Each of the modules 1 features a chamber section 2, a first support 3 that is arranged removably in or at the chamber section 2, and a second support 4 that is arranged removably at the first support 3. Whereas the first support 3 bears the cathodes, the second support 4 is formed as a cover at which are arranged the pumps for producing a vacuum in the coating chamber. Carriers 3 and 4 can be removed laterally from the chamber section 2 to such an extent that areas 11a, 11b accessible to persons can be formed between the module components. In this way, the components of the machine are readily accessible, for example for maintenance purposes. Work can be done simultaneously on the cathodes and in the chamber interior.