Recently deformation-induced amorphization of TiNi shape memory alloys has been investigated extensively using cold rolling, shot peening and high pressure torsion.  However amorphization of TiNi wire by cold-drawing has never been reported.  In the present study, wires of Ti-50.9mol%Ni and Ti-41mol%Ni-8.5mol%Cu alloys were deformed severely by cold drawing.  Changes in mechanical properties and microstructures were invesitgated by means of X-ray diffractometry (Cu or Mo -Ka), TEM observations (200 kV), micro-hardenss measurements and tensile tests at room temperature.  X-ray diffractometry and TEM observations revealed that the severely deformed wires were composed of the mixture of amorphous and nanocrystalline B2 phase.  The tensile stress-strain curves of the TiNi wires had no-stress plateau, yet exhibited over 3% recoverable strain.  The wire deformed aged at 573 K for 3.6 ks exhibited the tensile strength of 2.4 GPa, 5 % recoverable strain and apparent elastic modules of 71 GPa .  Such high strength TiNi wires can be useful in medical devices.  For Ti-Ni-Cu, the structural refinement was less significant.