A pivoting razor including a holder having a head portion, and a razor head having a blade body, the pivoting razor comprising: a support portion provided in the head portion of the holder; a supported portion provided in the razor head; and an elastic portion that is arranged between the support portion and the supported portion, wherein the razor head is arranged to be movable between a neutral position, in which the razor head is retained in a static state by the elastic portion, and a movement position, which is separated from the neutral position, and the razor head moves from the neutral position to the movement position against an urging force of the elastic portion, and the razor head returns to the neutral position from the movement position by means of an urging force of the elastic portion, wherein the support portion of the head portion has an annular portion that extends in an annular fashion, the annular portion defines a support hole on an inner side thereof, and the elastic portion has an annular elastic portion, which is located in the support hole and between an inner circumference of the annular portion of the support portion and an outer circumference of the supported portion of the razor head in the support hole, wherein the annular elastic portion extends in an annular fashion along the inner circumference of the annular portion and the outer circumference of the supported portion, the supported portion has a tube portion, a bending-allowing portion is formed in the annular elastic portion, wherein the bending-allowing portion is characterized by a ridge portion that continuously extends in an annular fashion concentrically with the tube portion at the circumference of the tube portion and protrudes along an axis of the tube portion in a direction away from the blade-body assembly portion, and a groove portion that is formed on the back of the ridge portion. a support portion provided in the head portion of the holder; a supported portion provided in the razor head; and an elastic portion that is arranged between the support portion and the supported portion, wherein the razor head is arranged to be movable between a neutral position, in which the razor head is retained in a static state by the elastic portion, and a movement position, which is separated from the neutral position, and the razor head moves from the neutral position to the movement position against an urging force of the elastic portion, and the razor head returns to the neutral position from the movement position by means of an urging force of the elastic portion, wherein the support portion of the head portion has an annular portion that extends in an annular fashion, the annular portion defines a support hole on an inner side thereof, and the elastic portion has an annular elastic portion, which is located in the support hole and between an inner circumference of the annular portion of the support portion and an outer circumference of the supported portion of the razor head in the support hole, wherein the annular elastic portion extends in an annular fashion along the inner circumference of the annular portion and the outer circumference of the supported portion, the supported portion has a tube portion, a bending-allowing portion is formed in the annular elastic portion, wherein the bending-allowing portion is characterized by a ridge portion that continuously extends in an annular fashion concentrically with the tube portion at the circumference of the tube portion and protrudes along an axis of the tube portion in a direction away from the blade-body assembly portion, and a groove portion that is formed on the back of the ridge portion.