The headrest support is constituted of an approximately umbrella-like head portion (100), a neck portion (101) and an approximately cylindrical barrel portion (102) arranged below the neck portion. A stay-and-receiving-member pressing portion (13) having resiliency is formed by forming a first cut groove (1300) in an intermediate portion of the barrel portion and by setting the stay-and-receiving-member pressing portion free in at least two directions from the barrel portion. The stay-and-receiving-member pressing portion is formed in an arcuate shape as viewed in a cross section, wherein a curved inner surface (1301a) is formed at a center portion of a curved inner surface, and a projecting outer surface (1302) which projects toward the receiving member side is formed on a curved outer surface end portion. And one or plural pairs of resilient members (8) are respectively formed on an upper portion and an intermediate portion of the barrel portion. An outer peripheral portion of the stay (3) is pressed by the curved inner surface (1301a) and an inner surface (6c) of the receiving member (6) is pressed by the projecting outer surface (1302) and/or the respective pairs of the resilient members (8).