Not only the efficient and clean burning of fossil fuel but also the utilization of thermal energy obtained in combustion are among the most important problems that human should consider now. After it is analysed that efficient and clean combustion of fuel, utilization of thermal energy and adjustment of combustion system in industry furnaces, a new combustion method and new concepts of the reacted and attached energy medium are set up. The study of theory and experiment shows :1, the concepts of reacted and attached energy medium are very effective in analysing combustion phenomenon.2, the amount of NO in combustion production can be reduced effectively. If the fuel does not contain N elements, the amount of NO in combustion production is zero.3, εg is increased by about 80%. 4, the combustion temperature is satisfied with the need of technology in industry furnaces. 5, the discharge amount of smoke can be reduced largely, which can reduce the loss of thermal energy.6, the new combustion method gives the best way of temperature adjustment in industry furnaces.