An eyeglass lens processing apparatus for forming a hole on an eyeglass lens to attach a rimless frame to the lens, includes: a lens chuck that holds the lens; a drilling tool; a designating unit that designates a position of a hole; a unit that measures or inputs an inclined angle of a refractive surface of the lens at the designated hole position; an arithmetic unit that obtains a hole angle with respect to a predetermined reference axis based on the inclined angle; a control unit that controls a positional relationship between the held lens and the drilling tool based on the obtained hole angle to perform a drilling; and an input unit that inputs a modified hole angle based on the obtained hole angle. The control unit controls the positional relationship between the held lens and the drilling tool based on the modified hole angle to perform a re-drilling.