A corneal surgical apparatus for incising a cornea of a patient's eye in a layered form includes: a suction ring unit, having a circular opening, that is to be vacuum-fixed onto a peripheral part of the cornea; a rotatable shaft; an eccentric pin projecting from a distal end of the shaft, the eccentric pin being located at a position offset from a rotational central axis of the shaft; and a cutting unit movable in an incising direction above the suction ring unit. The cutting unit including: cornea applanating means that applanates the cornea within the opening into a substantially flat form; a blade that incises the cornea; a first oscillation transmitting member having a part with which the eccentric pin is engaged; a second oscillation transmitting member having a part with which a part of the first oscillation transmitting member is engaged; and a holder that holds the first and second oscillation transmitting members to be movable in a lateral direction which is perpendicular to the rotational central axis of the shaft. Movement of the second oscillation transmitting member in the lateral direction causes the blade to be moved in the same direction.