Micro-grid plays an important role in increasing the absorption capacity of distributed renewable new energy (DRNE) in power system and improving the overall management and operational efficiency of power grid system. In order to further improve the capability of micro-grid in absorbing the uncertainty of distributed renewable new energy sources and enhance operation economy of micro-grid under carbon emission framework, this paper studies the operation optimization problem of micro-grid based on predictive control while considering carbon emission trading prices. The composition and system structure of micro-grid are discussed. Based on day-ahead economic operation strategy of micro-grid, a DRNE output prediction and energy storage system capacity estimation method based on rolling optimization is proposed. Furthermore, an economic operation structure of micro-grid considering carbon emission prices is given. The effectiveness of the proposed method in the operation and management of micro-grid is verified through experimental analysis.