The energy management system composed of several residential micro-grids equipped with energy harvesting devices is discussed. In order to make full use of the micro-grid distributed energy and minimize the energy that the energy management system purchased from power grid, the problem of energy dispatch and cooperation between two residential micro-grids is studied. In order to handle the user's elastic energy demand and maximize energy efficiency of the energy management system, this paper firstly establishes energy cooperation scheduling optimization model which allows the residential micro-grids to share the harvested energy. This paper proposes a method of energy cooperation scheduling for micro-grids by employing the Lyapunov optimization. Simulation results show that the proposed algorithm can both achieve the best performance and a low delay at the cost of marginally increased complexity. This work is supported by National Natural Science Foundation of China (No. 61362006 and No. 61371107), Natural Science Foundation of Guangxi Province (No. 2014GXNSFAA118387), and Key Laboratory of Cognitive Radio and Information Processing, Ministry of Education (No. CRKL150204).