A damping alloy member 1 is constructed in such a manner that the improvement consists of a twin crystal type damping alloy made of Cu—Al—Mn alloy, Mg—Zr alloy, Mn—Cu alloy, Mn—Cu—Ni—Fe alloy, Cu—Al—Ni alloy, Ti—Ni alloy, Al—Zn alloy, Cu—Zn—Al alloy, Mg alloy, Cu—Si alloy, Fe—Mn—Si alloy, Fe—Ni—Co—Ti alloy, Fe—Ni—C alloy, Fe—Cr—Ni—Mn—Si—Co alloy and Ni—Al alloy, and has a shape of a flake, a wire or a spring for optimizing a deformation of the alloy. Moreover, a rubber vibration isolator, a floor vibration damping apparatus, a tire, a steel cord and a quake-absorbing rubber are constructed by using the damping apply member.