An eyeglass lens processing apparatus includes: a processing tool configured to process a periphery of a lens; a movement portion configured to change a relative position between the lens and the processing tool; a positional data acquiring portion configured to acquire positional data related to a corner portion of an edge of the lens before the lens is finished and after the lens is roughed; a processing control data acquiring portion configured to acquire corner portion processing control data for removing a chip adhering to the lens through roughing, based on the positional data acquired by the positional data acquiring portion; and a processing control portion configured to control the movement portion based on the corner portion processing control data so as to remove the chip adhering to the lens.