Aiming at the problem of triangular mesh hole repairing, a new geometric feature based hole filling algorithm was presented. The holes boundary were extracted and pretreated, and the advancing front mesh technique is used to cover the hole with newly created triangles; The Eucliden-coordinate and lapacian of mesh points near the hole boundary were chosen as training sample for support vector machines and deduced lapacian of filling points;calculated coordinate of filling point throw possion equations based on deduced lapacian of filling points to file the hole precisely. Examples proved that this algorithm furbished geometric details to missing area of triangular mesh surface very good.