Motivation has been definitely witnessed to be vital in learning a foreign language so far in research and practices. Concerning the teaching reality in Banking Academy (BA), the writer would take a deeper insight into the motivation of non-English major students in class, and look for potential solutions to improve the English teaching practice in Faculty of Foreign Languages (FFL) at BA. In order to reach the target, the writer did a survey on 373 non-major students’ in B1-level English classroom at BA investigating their motivation level and clarifying the relationships between the extrinsic and intrinsic motivation with hope to significantly push up their motivation level in English class, helping them strengthen their English skills. The data of the study was quantitatively analyzed in SPSS version 20.