In order to investigate the effect of fatigue damage on the properties of RRR in this study. fatigue tests at room temperature and residual resistivity measurement tests at 12K were carried out using annealed 9 strand Cu-Ni/NbTi/Cu composite cables Through fatigue tests of NbTi composite cables. a conventional S-N curve could be obtained even though there existed a possibility of fretting among strands, From the resistivity measurement of a NbTi strand after fatigue test, it was found that the RRR of xii·gin strand for annealed cables was 3 times more than that for as-received one. With increasing of fatigue cycles at a sress amplitude level. the RRR decreased. which was resulted from the accumulation of damage such as lattice defects and dislocation within the Cu stabilizer.