In the process of reform deeply on graduate education in China, the training mode of the full-time professional degree graduate students is still in the exploration and construction phase. Problems of imperfect talent cultivation system, inadequate work of the main training units in colleges and universities, and passive mentors restrict the development of the training mode, which cannot meet the social demands for high-level talents. The government, colleges and universities, and mentor team of the main body must make efforts together to strengthen the training. Based on the main existing problems, we took the training mode, institutions of mentor team, and the quality evaluation system as research objects, and proposed some targeted countermeasures including highlighting the characteristics of graduate education in professional degree, promoting pluralistic-integrative system of tutor team, and setting up specialized management agencies to improve the quality evaluation system for making positive benefits on reform and promoting the graduate education reform and the development of the society.