A fuel pressure regulating system for an internal combustion engine has a pressure accumulator which is used to store fuel under pressure and to feed the combustion chambers of the internal combustion engine by fuel-supplying injectors, a high-pressure pump which supplies a fuel mass flux to the pressure accumulator, a first valve via which the fuel can be guided out of the pressure accumulator, and a second valve for restricting the fuel mass flux. The system is provided with a first control loop having the first valve as an actuator for regulating the pressure in the pressure accumulator, and a second control loop having the second valve as an actuator for regulating the pressure in the pressure accumulator, and the two control loops are embodied as cascade regulators, the first control loop being a master regulator and the second control loop being a follower regulator.