A connecting fitting for construction materials, which connects two construction materials arranged with an interval therebetween, the connecting fitting comprising: a first connecting member and a second connecting member that are adapted to be inserted between the two construction materials, and function as members for connecting the two construction materials; and parallelizing means having a parallelizing function of aligning the first connecting member and the second connecting member in a first direction perpendicular to both a thickness direction of one of the two construction materials and a direction of the interval, and making the first connecting member and the second connecting member aligned parallel or almost parallel to each other in the first direction, wherein the parallelizing means can eliminate the parallelizing function by a load caused to act on at least one of the first connecting member and the second connecting member, wherein inclination angles (Θ1, Θ2), with respect to the direction of the interval, of the first connecting member and the second connecting member can be made opposite to each other by the elimination of the parallelizing function, and wherein the connecting fitting further comprises a central shaft that is inserted into one of two end portions of each of the first connecting member and the second connecting member, and has an axial direction in the thickness direction of the one construction material, wherein the first connecting member and the second connecting member can pivot around the central shaft, characterized in that the parallelizing means includes a projecting piece that is formed in at least one of the first connecting member and the second connecting member and comes in contact with the other connecting member by projecting toward the other connecting member, wherein the projecting piece can be bent by the load, and wherein the parallelizing function of the parallelizing means disappears when the projecting piece is bent. a first connecting member and a second connecting member that are adapted to be inserted between the two construction materials, and function as members for connecting the two construction materials; and parallelizing means having a parallelizing function of aligning the first connecting member and the second connecting member in a first direction perpendicular to both a thickness direction of one of the two construction materials and a direction of the interval, and making the first connecting member and the second connecting member aligned parallel or almost parallel to each other in the first direction, wherein the parallelizing means can eliminate the parallelizing function by a load caused to act on at least one of the first connecting member and the second connecting member, wherein inclination angles (Θ1, Θ2), with respect to the direction of the interval, of the first connecting member and the second connecting member can be made opposite to each other by the elimination of the parallelizing function, and wherein the connecting fitting further comprises a central shaft that is inserted into one of two end portions of each of the first connecting member and the second connecting member, and has an axial direction in the thickness direction of the one construction material, wherein the first connecting member and the second connecting member can pivot around the central shaft, characterized in that the parallelizing means includes a projecting piece that is formed in at least one of the first connecting member and the second connecting member and comes in contact with the other connecting member by projecting toward the other connecting member, wherein the projecting piece can be bent by the load, and wherein the parallelizing function of the parallelizing means disappears when the projecting piece is bent. characterized in that the parallelizing means includes a projecting piece that is formed in at least one of the first connecting member and the second connecting member and comes in contact with the other connecting member by projecting toward the other connecting member, wherein the projecting piece can be bent by the load, and wherein the parallelizing function of the parallelizing means disappears when the projecting piece is bent.