After introducing the origin, traits classification and the development of ESP in China, the paper elucidates the relationships between EGP and ESP, and then analyzes the shortcomings of College English Curriculum Requirements as well as the problems and difficulties confronting College English Teaching in China.The problems are:1)College English language teaching requirements are too low;2)College English language teaching is not closed related to students' specialties.The trouble is that CET is being marginalized to a great extent.Finally, it points out that CET has to shift from EGP to ESP and play its role in the goal of higher education:to cultivate internationalized, innovative workforce.