In this paper, the gauge field theory of crystal defects is applied to analyse the characteristics of moving screw dislocation. The dynamic equations of screw dislocation are solved under certain gauge condition and the stress fields of uniformly moving screw dislocation are obtained. When K = μ/s (x is the coupling constant) approaches zero, the form of stress fields tends to be the same as that of uniformlymoving Volterra dislocation, but the limiting velocity happens to be 21/2c. When the velocity of this dislocation is zero, the stress are the same as that of Volterra dislocation at rest. Finally, the results are discussed in brief.