Detonation drive characteristics were studied for a certain dual-focusing fragment warhead in this paper. Using DYNA3D finite element codes,key technical problems such as propagation of detonation wave,case deforming driven by detonation,scattering characteristics of fragment are numerically simulated. The simulation results show that more fragments are concentrated in two focusing regions(-17°、-14°) and (14°、17°),by two initiation points. The concentrated number of fragments is 43.09％ of all ones. Simulation results obtained can be used for the initiation system of focusing fragment warhead in engineering practice.