Since the implementation of the new construction system in 1988 in China, this system has gone through three phases: trial phase(1988-1993),development phase(1993-1995),and comprehensive application phase from 1996.Construction supervision as a new management system has profound effects to the whole process of a construction project, in particular, to the three conventional objectives, that is quality, cost and construction time. The new management system has to a large extent brought the traditional problems of extended construction time, uncontrollable cost and unsecured quality to a normal practice. Construction supervision is a management activity with request of high intelligence. The performance of this activity is closely related to the quality of project general supervision engineer. This paper identifies the basic elements that a proper project general supervision must have. By applying the fuzzy analysis principle, this paper presents a quantitative model for evaluating the quality of project general supervision engineer.It provides an applicable approach for project clients when general supervision engineers are to be chosen.