The invention relates to the technical field of electric energy service management, in particular to a pneumatic-electric complementary heating demand response control system. The pneumatic-electric complementary heating demand response control system comprises an intelligent heating demand response management main station system, a power grid dispatching system, and at least one user side electric complementary heating control management substation; an output end of the power grid dispatching system is communicated with an input end of the intelligent heating demand response management main station system; and the intelligent heating demand response management main station system is in two-way communication with the user side electric complementary heating control management substation. The pneumatic-electric complementary heating demand response control system realizes the electric boiler control instruction establishment and actuation and the operation data monitoring and analysis through constructing the intelligent heating demand response management main station system and the user side electric complementary heating control management substation, facilitates to control the electric boiler operation, meanwhile, achieves the purpose of absorbing the wind power remained capacity, saves natural gas and petroleum resources, provides the demand response to the power grid peak shaving, and provides auxiliary services to the power grid operation.