In the structure for reinforcing a concrete member and the reinforcing method of the present invention, a reinforcing sheet is arranged and joined to a various kinds of concrete member, such as column, beam, wall, floor, and the like, by applying the reinforcing sheet to the surface of the concrete member and attaching to the fixing anchors joined to the concrete member or the other concrete member surrounding the concrete member. The fixing anchor comprises a large amount of reinforcing fiber, and is obtained by bundling a part of the reinforcing fiber. The unbundled portion of the fixing anchor is spread along the surface of the concrete member. The reinforcing sheet is over-lapped to the unbundled portion using resin adhesives. In addition, reinforcing fibers, such as carbon fiber, aramid fiber, glass fiber, and the like are preferably used as the material comprising the fixing anchor and reinforcing sheet. Thereby, the reinforcing member can be joined via the fixing anchor to the concrete members. Therefore, it is possible to securely join the edges of the reinforcing member, and reliably exert the reinforcing effects on the concrete member.