To study the effect of eccentric initiation ways on the fragment dispersion rule of prismatic aimable warhead, the fragment dispersion velocity and fragment direction angle of prismatic aimable warhead in eccentric one line initiation on face, eccentric two lines initiation on face, eccentric three lines initiation on face, eccentric one line initiation on arris and eccentric two lines initiation on arris were simulated and studied by LS-DYNA software. The results show that the eccentric initiation can significantly improve the fragment velocity within the directional region. And the fragment beam is basically distributed in the radial direction of about 25°. When two eccentric lines on the arris detonate synchronously, the gain in fragment maximum dispersion velocity in the direction of the target can reach 29.73%. Using eccentric two lines sequential delay initiation on arris, it can make the axial direction angle change up to 6.77°.