Bangladesh, China, India, Myanmar economic corridor construction is still in the stage of intergovernmental discussions between the four countries, and has not really started the substantive staget. The key question is how to go beyond the socalled competition between China and India, so that India can actively take part in the Bangladesh, China, India, Myanmar economic corridor construction. In this regard, this article suggests that China and India can start from actively implementing the FTA Strategy, which emphasizes the cooperation seeking by both China and India. Through the cooperation in the FTA negotiations, China and india can reduce the sense of competition in the dominance of the region, in order to promote the smooth implementation of Bangladesh, China, India and Myanmar economic corridor construction.