A razor is provided with a blade member 3 having a base and a blade body 4 on the base, a blade base member 5 arranged on the bottom side of the razor head 2, and a top member 6 arranged on the top side of the razor head 2. The blade member 3 is fitted between the blade base member 5 and the top member 6. The base is supported on the blade base member 5. A cutting edge 4a of the blade body 4 is exposed at the top member 6. The base is elastically supported by the leaf spring so as to move integrally against a pressing force from the skin surface when the blade body is caused to contact the skin surface. A contact pressure of the blade body 4 on the skin surface is restricted, thereby improving the shaving performance. Further, since a single-component blade member 3 having the blade body 4 on the base is fitted between the blade base member 5 and the top member 6, this simplifies the structure for elastically supporting the blade body 4 and allowing the blade body 4 to move.