A compound control circuit comprises an input end, a light-load signal processing circuit, a slow response circuit and a fast response circuit. The compound control circuit is mainly used as an additional circuit of a work control chip, so that although the work control chip only has a single overcurrent protection level, a compound function control of fast and slow speed, high and low level current protection and light-load signal stabilization can be generated through the compound control circuit, so as to meet the complex application environment and compatible requirements of the current power supply.