Method and compressor arrangement for generating compressed air, particularly for commercial vehicles, which is generated by way of a compressor unit (3) driven by an internal-combustion engine (1) from the ambient air according to a control unit (14), in which cases, by means of the compressor unit (3) operated by the internal-combustion engine, compressed of only a low pressure level is generated for assigned low-pressure consuming devices (7a, 7b), and in that, starting from the compressed air of the low pressure level, by means of a separate auxiliary compressor unit (8), compressed air of a high pressure level is generated for assigned high-pressure consuming devices (11a, 11b), the coordinated triggering of the two compressor units (3,8) being carried out, in a pressure-demand-controlled manner, centrally by means of the control unit (14).