A tilt adjusting apparatus for an optical disc player to adjust a tilt of an optical pickup having adjusting ends positioned on at least first ends of two guide shafts that guide reciprocating motion of the optical pickup, elastic members positioned below the adjusting ends to bias the adjusting ends in a first direction, stoppers positioned on brackets above the adjusting end, to limit adjustment of the adjusting ends in the first direction, and adjusting screws coupled to the stoppers, to adjust the adjusting ends in a second direction opposite the first direction, thereby adjusting the inclination of the guide shafts. The stoppers are sized so that the optical pickup does not contact a lower surface of the disc even during large inclinations of the guide shaft.