Transformation behavior and reversible shape memory effct of Ti-Ni-Cu alloys with various Cu content has been investigated by means of electrical resistivity measurement, differential scanning calorimetry, X-ray diffraction and strain gage sensor. The transformation sequence in Ti-Ni-Cu alloys substituted by Cu for Ni up to 5at.% occurs to B2↔B19` and it proceeds in two stages by addition of 10 at.%Cu, i.e, B2↔B19↔B19`. But the content of Cu increases up to 20at.%, it has been transformed in one stage ; B2↔B19. The shape change of Ti-40Ni-10Cu alloy which was constrain aged in circular form tended in B2→B19 transformation but it spreaded out in B19→B19` transformation. The amount of reversible shape change(Δε) of Ti-47Ni-3Cu alloy constrain aged at 400℃ after solution treatment has a maximum value of about 5.6×10^(-3), but that of cold rolled and constrain aged specimens exhibits a little value independent of Cu concentrations.