A buckling stiffening brace member eliminates welding time. Readily available components such as a steel rod and a steel pipe can be used as an axial force member and a stiffening member. The axial force member and the stiffening member can be easily connected in a dry manner by threads. A thread for screwing with a joint is formed at an end of an axial force member. At an end of a stiffening pipe that does not have a retaining ring, a sleeve for suppressing neck bending of the axial force member is joined to the outer surface of the axial force member. The axial force member and the stiffening pipe are joined together with the retaining ring therebetween by inserting an end of the axial force member that does not have the sleeve into the inner peripheral surface of the retaining ring and joining it to the retaining ring.