The algorithm synthesized texture directly on the three-dimensional point-sampled geometry, instead of relying on the conventional and complicated way of triangulation of three-dimensional point-sampled geometry. It controlled the direction of texture synthesis on the sample surface by means of setting up an orientation field of fairing on the three-dimensional point-sampled geometry. On the basis of orientation field, a mapping relation between tree-dimensional point-sampled geometry was made and texture was synthesized as a result. The experimental results indicate that, comparing with the conventional three-dimensional texture synthesis based on sampling grid, the method greatly increase the speed of synthesis meanwhile guaranteeing its quality.