Using LS-DYNA numerical simulation and orthogonal optimizing design method, dual mode warhead with arc-cone liner was optimized. The effects of dual mode warhead structure parameters (curvature radius, cone angle, thickness of arc-cone liner and the height of the explosive charge) were analyzed, and the arc part-cone part-ratio on the formation of explosively formed penetrator (EFP) and jetting projectile charge (JPC) were discussed. The numerical simulation results show that thickness is the main factor to affect tip velocity while cone angle is to determine length-diameter ratio and velocity gradient; both the performances and formation of EFP and JPC are better in the second optimization when the optimum combination, as curvature radius, cone angle, thickness and the height of the explosive charge is 0.45D_k, 145°, 0.04D_k and 1.0D_k respectively, where D_k is shaped charge diameter, that is the arc takes up smaller part.