Non-compression braces show excellent capability of no buckling and no slip behavior. The braces can be applied to seismic rehabilitation of low-rise steel structures. The looseness due to plastic elongation of the anchor-bolts caused by brace axial forces and column bending moment need be diminished to keep stiffness of the braces. Numerical analysis of the column-base with horizontal displacement constraint plate and wedge-device is carried out to clarify usefulness of the non-compression braces.