In this paper, its features are: 1.The complete nonlinear dynamics of the pursuit-evasion motion is considered in three-dimensional spherical coordinate system. Neither linearization nor small signal assumptions are made. 2.The nonlinear H∞ guidance design is derived analytically and expressed in a very simple form. 3.Unlike adaptive control concept, implementation of the proposed H∞ guidance design does not need the information on target acceleration while ensuring acceptable intercept performance for arbitrary targets with the finite acceleration. 4.The derived guidance design exhibits strong robustness against variations in target acceleration.