This paper focuses on the environmental and economic optimal operation of microgrid in grid-connected and island modes. Considering the operation constrains of microgrid, a Constrained Multi-Objective Optimization Problem (CMOP) is built with the fuel cost, depreciation expense and emission cost of distributed generators as optimization objectives. The satisfying degree based fuzzy comprehensive evaluation is introduced for the conversion from multi-objective problem to single-objective one. Then the Comprehensive Learning Particle Swarm Optimization (CLPSO) is applied for the solutions of outputs from distributed generators and charge/discharge optimization of storage device in microgrid. An AC/DC hybrid microgrid including photovoltaic, diesel generator, lithium battery, electric vehicle charging points and load is researched. Optimization results demonstrate the effectiveness of the proposed models, methods, and algorithm. This work is supported by Youth National Natural Science Foundation of China (No. 51507001), National Key Research and Development Program of China (No. 2016YFB0900400), and Science and Technology Project of State Grid Corporation of China (No. 521205160021).