A method of trajectory design and optimization for fast reentry arrival was proposed for the applications of large reentry velocity and strictly constrained flight time. The proposed method quickly decreased trajectory inclination and flattened trajectory on the initial reentry stage using large attack-angle, and the attack-angle and bank-angle variation rules on the later reentry stage and glide stage were jointly designed and optimized to significantly decrease terminal velocity and satisfy the constraints of terminal height, terminal heading and maximal dynamic pressure, maximal heat, etc. The proposed method can increase the ability of fast arrival for traditional lifting body vehicle and expand its application. Simulation results demonstrate that the terminal velocity is less than 7Ma and the lateral maneuver capacity is greater than 800 kilometers in the 12 minutes of flight time under the condition of typical vehicle parameter and large reentry velocity.