In the developing of smart grid, many new technologies and components such as energy storage and microgrid are playing more and more role for making the power system more reliable and efficient. A grid-connected microgrid consists of local controllers, local consumers, renewable energy generators and storage facilities will becoming an important part of future smart grid in integrating more renewable energy resources (RER), demand side response (DSR), reducing cost of transmission, increasing power quality and reliability, and so on. This paper concerns on efficient energy management of microgrid with RER integration and battery energy storage system (BESS) and in realtime electricity price (RTP) markets. A model predictive control (MPC) based scheduling and operation strategy for microgrid operator to minimize the operation costs under different forecast uncertainty levels of load demand, electricity price, and renewable energy generation outputs is proposed. Three other strategies are also discussed for evaluating the performance of strategy presented in this paper. Simulation results show that the proposed MPC-based strategy has better performance and more robust than the other strategies facing different prediction uncertainty levels.