This paper studies effects of technological innovations on energy efficiency of industrial groups by introducing the evolutionary views on the optimal ways in which animals search for food originally,coming up with their resolutions. First of all,the paper describes the basic model of energy efficiency of a class of industrial groups,giving an assumption about relations between technology and market demand,also giving an assumption about energy efficiency of firm A and B. Secondly, the paper studies the effect of technological innovation on energy efficiency of the horizontal industrial groups and shows the theorem which gives the sufficient conditions improving energy efficiency of the core firm after the model has been set up,coming up with a resolution for the core firm ．and then it studies the vertical industrial groups in which the core firm is a downstream firm and obtains a simihr result after the model has been set up Finally，it prorides an example that illustrates its idea telling the cove firm how to make a decision according to energy efficiency．In short，we take growth of an industrial group as evolution of an animal group and try to apply the evolutionary ideas to economic research．