A general formulation of the displacements induced by plastic distortion, &bgr;*ji, with small intertia forces in viscoelastic materials is derived. The elastic fields of a twist disclination in viscoelastic materials are then obtained from this formulation. Finally, the fading property of the strength of the disclination is determined for the disclination in the standard linear viscoelastic materials, and the variations of the elastic fields of the disclination are discussed.