The invention provides a method for fabricating a fin structure for fin field effect transistor, including following steps. Providing a substrate, including a fin structure having a silicon fin and a single mask layer just on a top of the silicon fin, the single mask layer being as a top portion of the fin structure. Forming a stress buffer layer on the substrate and conformally covering over the fin structure. Performing a nitridation treatment on the stress buffer layer to have a nitride portion. Perform a flowable deposition process to form a flowable dielectric layer to cover over the fin structures. Annealing the flowable dielectric layer. Polishing the flowable dielectric layer, wherein the nitride portion of the stress buffer layer is used as a polishing stop.