Green communication is a major characteristic of mobile communication system, such as 5G system. It is an important research hotspot how to improve the energy efficiency for massive Multiple-Input Multiple-Output（MIMO） system. Antenna selection is a very effective technology to improve the energy efficiency. However, some of the existing antenna selection methods are local optimization or single-objective optimization. To overcome these shortcomings, an antenna selection algorithm for massive MIMO based on game theory is proposed. The utility function is derived by system capacity and transmitting power. A group of antennas is selected according to each game. At the game equilibrium, the energy efficiency gets the maximum. The existence proof of Nash equilibrium is given, and the equivalence between Nash equilibrium point and the maximum of energy efficiency is also shown. Simulation results demonstrate that the game theory algorithm can achieve the global optimum, which brings out higher energy efficiency, whereas the channel capacity is no significant dropped. It can be seen that the proposed algorithm can improve the energy efficiency, which helps to green communication.