In the previous paper, the authors proposed a new mass measuring method under vibration-like moving conditions. The mass measuring system consists of a weighing load cell and several compensation load cells called as dummy load cell. The dummy load cells are used for getting the information on the position of mass center of the weighed object and on the vibration-like moving conditions. However, to practical use, the influence of zero drifts of the load cell's outputs caused by the change of temperature, humidity, etc., on the measured value must be considered. But it is not so easy as we do it under the static condition. In this paper, a new method is proposed to eliminate the influence of the zero drifts under vibration-like moving conditions. It is also verified through the experiment that the new method is effective to improve the measuring accuracy.