Abstract: The gas discharge is widely utilized to pump the variety of gas lasers.This paper introduced the transverse magnetically confined technique to maintain the uniform and rapidly rotating glow discharge in a big volume.The system consists of a 500cm×8cm×2cm Rogowsky electrodes,and two rows of magnets are set in the cathode.According to the differences of Lorentz force of discharge particles,the discharge space is divided into three regions.Based on liquid dynamics,this paper set a expression to describe the rotational velocity distribution in discharge region and gave the numerical solution.