Abstract: Based on the method of finite layer of Biot’s consolidation of elastic soil,by means of the elastic-viscoelastic correspondence principle and Laplace transform,the method of finite layer of Biot’s consolidation of viscoelastic soil is presented and programmed.An example of viscoelastic foundation settlement shows the present method and programme are true.With the increase of viscosity coefficient,the viscosity of materials plays a great rloe.It is in good agreement with the choosen viscoelastic model.The relationship between the effect of consolidation and the viscosity is analyzed.