A radial foil bearing, comprising: a bearing housing provided with an insertion hole; a top foil accommodated in the insertion hole; and a cover attached to an end surface of the bearing housing in an axial direction in which the insertion hole extends, wherein the top foil is rolled in a cylindrical shape in a state where two ends of the top foil intersect such that the two ends of the top foil are pulled out toward the bearing housing, and the cover faces, in the axial direction, at least either one of the two ends of the top foil, and an engagement member (16, 16C) attached to the bearing housing and engaging with the top foil, wherein: the insertion hole is provided with a through groove extending from the end surface of the bearing housing in the axial direction; the two ends of the top foil are accommodated in the through groove; and the cover covers at least part of an open end of the through groove formed on the end surface of the bearing housing; and the engagement member (16, 16C) is accommodated in the through groove, characterized in that: the engagement member (16, 16C) has a chamfer facing a corner between a side surface and a bottom surface of the through groove. a bearing housing provided with an insertion hole; a top foil accommodated in the insertion hole; and a cover attached to an end surface of the bearing housing in an axial direction in which the insertion hole extends, wherein the top foil is rolled in a cylindrical shape in a state where two ends of the top foil intersect such that the two ends of the top foil are pulled out toward the bearing housing, and the cover faces, in the axial direction, at least either one of the two ends of the top foil, and an engagement member (16, 16C) attached to the bearing housing and engaging with the top foil, wherein: the insertion hole is provided with a through groove extending from the end surface of the bearing housing in the axial direction; the two ends of the top foil are accommodated in the through groove; and the cover covers at least part of an open end of the through groove formed on the end surface of the bearing housing; and the engagement member (16, 16C) is accommodated in the through groove, characterized in that: the engagement member (16, 16C) has a chamfer facing a corner between a side surface and a bottom surface of the through groove. the two ends of the top foil, and an engagement member (16, 16C) attached to the bearing housing and engaging with the top foil, wherein: the insertion hole is provided with a through groove extending from the end surface of the bearing housing in the axial direction; the two ends of the top foil are accommodated in the through groove; and the cover covers at least part of an open end of the through groove formed on the end surface of the bearing housing; and the engagement member (16, 16C) is accommodated in the through groove, characterized in that: the engagement member (16, 16C) has a chamfer facing a corner between a side surface and a bottom surface of the through groove. the insertion hole is provided with a through groove extending from the end surface of the bearing housing in the axial direction; the two ends of the top foil are accommodated in the through groove; and the cover covers at least part of an open end of the through groove formed on the end surface of the bearing housing; and the engagement member (16, 16C) is accommodated in the through groove, characterized in that: the engagement member (16, 16C) has a chamfer facing a corner between a side surface and a bottom surface of the through groove.