In this paper, an approach is proposed for multiresolution rendering of triangular mesh model with zero genus which based on GPU. The triangular mesh parameterized onto a spherical domain, then the geometry images is constructed with the parametric results. The quadtree is constructed on the geometry image, finally the LOD selection and mesh simplification is performed in the shader. The time of the simplified model process is reduced with use of GPU highly parallel computing features compared with the existing methods. The experimental results show that this approach ensure the quality of rendering and meet the requirements of realtime rendering.