In order to reveal the influence of initiation mode on distribution and enhancement of fragment velocity, the numerical simulation of the explosion process of the eccentric initiation warhead under one end eccentric initiation, both ends eccentric initiation and eccentric line initiation were studied in this paper. The results show that the two points of both ends eccentric initiation's enhancement of fragment velocity is 28.1% higher than the center's, and the distribution angle of high-speed fragments is much wider on the circumference. So the former is the best initiation mode.