One bottleneck of teaching system of engineering management majors in higher finance and economics colleges and universities is the unbalance of knowledge structure due to lack of engineering technological background. The training feature and curricular characteristics of management personnel in finance and economics colleges and universities were introduced firstly. Then, after the discussion of core rule of teaching system for engineering technological curricular, one teaching system design which architectural mechanics and building structure were considered as the core was proposed. The proposed design is a new idea in curricular teaching and would be helpful to engineering technological teaching in finance and economics colleges and universities.