The multi-criteria group decision-making(MCGDM) problem is a hot topic in the decision-making area, especially in the environment with much uncertainty and subjectivity. A new MCGDM method based on the rough number is proposed to solve this problem. The RBWM is proposed for calculating weights of criteria firstly, and then the RTOPSIS is applied to alternative evaluation and selection. Finally, a practical example is given to illustrate the application of the proposed method and its sensitivity analysis. The comparison with other methods verify the effectiveness and accuracy of the proposed method.