Abstract: Aiming at the current hot issue of precision forming of high-order aspherical optical components “the residual annular ripples on the surface after high-order aspherical processing”, the main reasons for the residual annular ripples in high-order aspherical processing were analyzed, and a high-order aspherical surface was proposed. Tangent rotary forming method, designed a high-order aspheric tangent rotary forming solid numerical model, applied ANSYS Workbench to carry out dynamic modal analysis on the solid structure, and obtained the grinding wheel shaft assembly, workpiece shaft assembly and the overall machine bed 1~5 order natural frequencies, critical rotational speeds, and specific mode shape descriptions. Based on the developed high-order aspheric tangent rotary forming machine tool, the high-order aspheric surface machining experiment was carried out, and the advanced nature of high-order aspheric tangent rotary forming and the rationality of the solid structure design were verified.