A fiducial is generated on an internal anatomical structure of the eye of a patient with a surgical laser. A toric artificial intraocular lens (IOL) is positioned so that a marker of the toric IOL is in a predetermined positional relationship relative to the fiducial. This positioning aligns the toric IOL with the astigmatic or other axis of the eye. The toric IOL is then implanted in the eye of the patient with high accuracy.