Since the founding of formal Graduate Institute of Library Science at National Taiwan University in 1980 five universities in Taiwan have established graduate library science programs. This paper tried to trace the development of advancd libary science degree programs, examined the internal and external obstacles encountered. Due to the rapid change of Internet and information technology, the libary science program has to compete with other departments, such as MIS, Computer Science,MBA, etc. This phenomena had great impact upon the education for libary professionals. In general,the Graduate Institute of libary Science has the following dilemma:1.The debate for a proper name;2.The belonging of appropriate school;3.The concensus for core curriculum;4.The recruitment of good students;5.the lack of Chinese teaching material;6.The neglect of research work. In conclusion, the author proposed the following suggestions:1.A national planning for libary science education propram.2.The evaluation of libary science program,3.Virtual classroom and networked instruction, 4.More intraction with other departments, 5.The emphasis on research work.