The paper is concerned with the stability of an uncertain system with quantization by using super twisting controller. Both uniform and logarithmic quantization schemes are considered. Our main discovery is that the trajectories are always bounded with static uniform quantization scheme and are globally finite-time stable with logarithmic quantization scheme. Furthermore, a dynamic uniform quantization scheme is proposed to eliminate quantization errors. Simulation examples are given to shown the effectiveness of the proposed design approach. (C) 2019 Elsevier Ltd. All rights reserved.