An eyeglass lens processing apparatus for processing a periphery of an eyeglass lens includes: a lens chuck shaft configured to chuck the eyeglass lens; a shaft angle changing portion configured to change a shaft angle of the lens chuck shaft; a first processing tool unit including at least one spindle at which a first processing tool is provided; a second processing tool unit that is disposed to oppose the first processing tool unit and that includes at least one spindle at which a second processing tool is provided; and a controller configured to change one of the first and second processing tool unit to be used for processing the eyeglass lens to the other of the first and second processing tool by controlling driving of the shaft angle changing portion to change the shaft angle of the lens chuck shaft.