A foil bearing for supporting a shaft includes a sleeve-type baring housing, at least one elastic corrugated foil arranged on the inner circumference of the bearing housing, and a respective top foil covering each corrugated foil and forming a bearing surface. The bearing housing includes insertion grooves defined therein that extend from the inner surface of the bearing housing and outwardly. The fop foil and the corrugated foil each have ends that are inserted into and received by the insertion grooves.