An important goal of any caching problem is to reduce traffic in the network, but the energy consumption in the content centeric network is a factor that needed to be considered, including cache energy consumption and transmission energy consumption. This paper presents a traditional relationship between the cache efficiency measures, such as hit rate, and energy consumption. This paper presents a new caching mechanism that can improve the hit rate and also reduce the energy consumption. Besides this paper express this optimization problem in the form of submodular, find the balance of the hit rate and energy consumption through the greedy algorithm, and find a kind of approximate optimal cache mechanism. Finally, the simulation results show that this result can achieve a balanced cache mechanism of hit rate and energy consumption in the content center network.