Humanoid robots are becoming an important factor for the future work. The researches in this field are focusing on the ability of using Humanoid robots in many areas where human live and work. Future planes are made to explore the surface of the moon for different purposes which requires long present and existing by human. The development of humanoid robot to work in such environment for the purpose of human assisting is becoming highly demanded. The challenge of developing a bipedal robot to walking on the moon is really high due the low gravity compare to earth. The effect of the low gravity may result in unstable walking which will require lower walking velocity. In order to have higher velocity it is better to switch to running gait instead of walking gait. In the paper we investigate the ability to perform a jumping motion on the moon gravity as a first step toward developing a running gait motion.