Abstract: A method of cutting a non-metallic material along a curved line, is disclosed. The method includes forming an initial crack on a surface of a non-metallic material such that the initial crack is disposed on a curved line along which the non-metallic material is cut, and irradiating a laser beam along the curved line to apply thermal shock to propagate along the curved line to cut the non-metallic material along the curved line. Therefore, edge portions of the non-metallic material may not be damaged and the non-metallic material may be clearly and quickly cut.