The invention belongs to the field of energy recycling in the steelmaking process of electric arc furnaces, and relates to a method and an equipment system for the coordinative production of an electric arc furnace and a waste heat recovery device. The system comprises a gas analyzer for analyzing gas ingredients in a flue, a programmable logic controller (PLC) for data transmission and the implementation of control operation and a server for data operation and data storage. In the method, the temperature of flue gas entering a waste heat recovery system is calculated and forecasted by measuring the flue gas of the electric arc furnace continuously on line, the system regulates the oxygen supply flow of the electric arc furnace, the air mixing flow of a flue and the air draft volume for dedusting dynamically based on a control strategy according to the requirement of controlling the temperature of the flue gas within the range from 600 to 800 DEG C, and the steelmaking production of the electric arc furnace and the waste heat recovery system are combined to realize the safe and efficient running of the waste heat recovery system. The method and the system have the advantages that:the work efficiency of the waste heat recovery system is improved by 5 percent; the work faults of the system are reduced by 10 percent; and the oxygen consumption of the electric arc furnace is reduced by 5 percent.