A razor having a simplified structure is provided. This oscillating razor is provided with a razor head. The razor head is provided with a blade member composed of a base having a blade-body supporting portion and a plurality of blade bodies, a blade base member located on the back side of the razor head, and a top member located on the front side of the razor head. The blade member is fitted between the blade base member and the top member. The base is supported on the blade base member and the cutting edge of the blade body is exposed outward at the top member. Each of the blade bodies is placed on the blade-body supporting portion, and welded portions fixed to each other by welding from the side corresponding to the blade-body supporting portion are formed on the blade body and the blade-body supporting portion.