By the experimental study about the effect of a circulate loading on the deformation and the Young's model of Sanjome andesite at the distinct strain rate in a low stress state, the viscoelasticity of Sanjome andesite in a low stress state is researched by means of the effect of the circulate loading on the deformation of rocks. It is found that the natural material such as rocks has obvious viscoelasticity, and the mechanical property of rocks has a direct bearing on the size, direction and loading rate, but also on the way of loading and the organization attribute of rocks.