Abstract: Considering the viscoelastic deformation characteristics of grouting body and rock mass, and based on the Kelvin solution of elastic space theory, combined with fractional derivative theory and viscoelastic theory, then derived the compressive stress and anchor hole of the anchorage section of pressure anchor cable system. Meanwhile, the analytical solution of shear stress and viscoelasticity between the grouting body and the influence of factors such as fractional order value, bearing plate radius and shear modulus on the stress distribution of anchor cable are obtained by using MATLAB numerical software. The results showed that the stress value of the anchor cable system described by the fractional viscoelastic model is lower than that of the classical viscoelastic model, and the fractional value and shear modulus have a great influence on the cable stress. The results enrich the theory of mechanical analysis of pressure anchors.