An air jet spinning machine for producing spun threads from staple fiber strands includes a number of spinning positions, to each of which compressed air nozzles are arranged for the purpose of generating the spinning twist. A joint compressed air regulator is connected upstream of the spinning positions, which regulator includes a pressure sensor and a regulating device. The compressed air regulator is set at a reference pressure, which corresponds to the unregulated static pressure prevailing when all spinning positions are in operation. In the case of a change in the static pressure, the compressed air regulator re-adjusts to the reference pressure.