Shape memory alloy (SMA) is one of the promising smart materials because of their ability to perform two different tasks: sensing, and actuating. CuAlNi is a kind of SMA with a very wide use. In order to investigate basic properties of pseudoelasticity of CuAlNi single crystal, uniaxial and biaxial loading tests under different combined loads at a constant temperature were performed on cruciform specimens, and experimental data were compared with theoretical calculation based on a proposed constitutive model.