A method for cutting a nonmetal material is provided. The method includes steps of (a) generating a tension stress on a surface of the nonmetal material by exerting a bending stress thereon; (b) providing a thermal effect along a path direction on the surface, wherein the thermal effect grows along a direction opposite to the path direction; (c) providing a first cryogenic effect in a first incident direction along the path direction; and (d) providing a second cryogenic effect in a second incident direction along the path direction, wherein a crack along the path direction on the surface is formed as a result of the tension stress, the thermal effect, and the cryogenic effects therealong for cutting the nonmetal material.