In this study, the human gait trajectories during normal walking were synthesized using the inverse kinematics and optimization techniques. The synthesis is based on a gait model consisting of a torso and two legs. Each let has three segments: thigh, shank, foot, and has six degrees-of-freedom. In order to synthesize trajectories of this redundant system, the sum of angular displacements of articulating joints was selected as an objective function to be minimized. The proposed algorithm in this study is very useful for the analysis of human gait. For the gait analysis, the trajectories of four points in each leg should be measured. Hpwever, by using the algorithm, measuring the trajectories of two points is sufficient, and thus the experimental set-up can be simplified.