This thesis will plan some off-line walking trajectory for a 12 DOF biped robot. Those trajectories are walking straightly, and turning. For those purpose, the walking trajectory Planning must consider about the torque output limit of motors. Thus, the research will compute the motor’s torque during walking, and set it as constrains. When planning the walking trajectory, this research will generate independent trajectory on coronal plane and sagital plane, and combine to a 3D trajectory. The mechanism will use two two-link mechanisms for trajectory generating, and combining all the two-link mechanisms that is the trajectory of the whole mechanism. Finally, the off-line trajectory will apply in the real biped robot, and check it available or not.