Stress induced deformation in A p～ M p and concomitant shape recovery behavior of Cu 13.4Al 4.0Ni single crystals were studied. Abnormal high stress induced deformation exists in A p～ M p under the conditions of either heating with load or cooling with load. The recovered deformation is successively composed of four parts, the recoveries from superelasticity, normal reverse transformation, thermally activated reverse transformation of partially stabilized martensite and reverse transformation of stabilized martensite by over heating. With increasing cycling number, the recovery part from normal reverse transformation decreases, while that from reverse transformation of stabilized martensite by over heating increases, which shows a typical stabilization of martensite. Stress induced deformation in A p ~ M p and concomitant shape recovery behavior of Cu 13.4 Al 4.0Ni single crystals were studied. Abnormal high stress induced deformation exists in A p ~ M p under the conditions of either heating with load or cooling with load. The recovered deformation is formed composed of four parts, the recoveries from superelasticity, normal reverse transformation, thermally activated reverse transformation of partially stabilized martensite and reverse transformation of stabilized martensite by over heating. With increasing cycling number, the recovery part from normal reverse transformation , while that from reverse transformation of stabilized martensite by over heating increases, which shows a typical stabilization of martensite.