For the fabrication of conicoid,it is widely used to put a knife at the anaberrational point for knife-edge test or use interferometer for interfering test. So resolving the anaberrational points of conicoid is important for testing. Based on the third-order aberration theory,the method of resolving two conjugate anaberrational points is developed. The related functions,graphs,optical layouts and tables are given,which are very helpful for the conicoid testing.