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 $B2{leftrightarrow}B19^{prime}$ and it proceeds in two stages by addition of 10 at.%Cu. i.e. $B2{leftrightarrow}B19{leftrightarrow}B19^{prime}$. But the content of Cu increases up to 20at.%, it has been transformed in one stage ; $B2{leftrightarrow}B19$. The shape change of Ti-40Ni-10Cu alloy which was constrain aged in circular form bended in $B2{leftrightarrow}B19$ transformation but it spreaded out in $B19{leftrightarrow}B19^{prime}$ transformation. The amount of reversible shape change (${Delta}{varepsilon}$) of Ti-47Ni-3Cu alloy constrain aged at $400^{circ}C$ after solution treatment has a maximum value of about $5.6{ imes}10^{-3}$, but that of cold rolled and constrain aged specimens exhibits a little value independent of Cu concentrations.