Abstarct: In this research numerical solve for vibration of a moving viscoelastic web under transfer loading for acquiring displacement and frequencies on the basis of first shear deformation theory is proposed. for this purpose governing equations on the assumption of standard linear model of Zener for material detection is derived by Hamilton and time and displacement are separated using Galerkin method. For solving governing equations dominated on the behavior of system which is a system of differential equation on the basis of time finite difference method is used. Web response during time is solved and the sensitivity of these values to geometrical parameters and viscoelastic characteristics are investigated. Also natural frequency of system and it's dependency to geometry and web material is investigated.