The radial foil bearing (3, 3A, 3B) includes: a housing (12) provided with an insertion hole (12a), a pair of engagement grooves (15) extending outward in a radial direction from an inner peripheral edge of the insertion hole being provided in both end surfaces in an axial direction of the housing; a back foil (11) disposed on an inner circumferential surface of the insertion hole; an intermediate foil (10) supported by the back foil; and an engagement member (30) including a pair of engagement legs (31) engaging with the pair of engagement grooves, and a connection portion (32) connecting the pair of engagement legs. The intermediate foil is provided with a recess (10c) recessed and protruding toward the back foil, and the connection portion is disposed in the recess.