In this study, the Cr was added into Cu-Al-Mn alloys for replacing Cu and Mn, and the microstructure, martensitic transformation, stress-strain behavior, superelasticity and shape memory effect of quaternary Cu-Al-Mn-Cr shape memory alloys were investigated. All the studied alloys exhibit a mixed microstructure consisted of dominant L2(1) parent, small amounts of A2(Cr) and 2H(gamma(1)') martensite, as well as a reversible martensitic transformation. Although the alloys are main L2(1) parent before deformation, partial stress-induced 2H(gamma(1)') martensite can be stabilized and retained after unloading. Therefore, the same alloy under a certain deformation temperature not only exhibits superelasticity property during deformation, but also the deformed alloy also shows shape memory effect when heated. The results further show that Cu-12.8Al-7.5Mn-2.5Cr alloy has a good superelasticity strain of 2.9% as well as a shape memory effect of 1.5%. Cu-12.7Al-6.9Mn-1.8Cr alloy possesses much the best superelasticity strain close to 5.0% under a pre-deformation of 10% and a shape memory effect of 2.0%. The best shape memory effect up to 2.5% with 10% of pre-deformation and a superelasticity strain of 2.8% are obtained in Cu-12.5Al-5.8Mn-4.1Cr alloy.