Elastic materials that store and release elastic energy play pivotal roles in both macro and micro mechanical systems. However, it remains a significant challenge as metals generally suffer from a limited linear elastic strain of < 2% or large hysteresis due to its microscopic defects. Here, we presented a new strategy for enhancing the linear-elastic deformation of shape memory alloys (SMAs) and this put forward strategy was demonstrated in a Cu-based SMAs through experiments. This strategy relies on the interaction between the second soft phase including Kirkendall and interstitial pores and the soft-oriented strong texture matrix phase caused by powder metallurgy preparation process as elemental powders used as raw materials. In this work, the second phase pore soft phase with porosity of 11.4~31.1% and pore size of 0.5~10 μm was introduced into Cu71Al18Mn11 SMAs matrix through the combining of low temperature reactive sintering and spark plasma sintering process. The abnormal grain growth process realized the preferred texture of <101>-oriented and small angle grain boundary of matrix phase, as well as the reduced γ2 phase at the grain boundary. As a result, the designed porous Cu71Al18Mn11 SMAs demonstrated excellent elastic energy storage performance (elastic energy density Ue > 21.1 MJ/m3, efficiency η > 0.86), large recoverable near linear strain (near-elastic strain,~8%), and low energy dissipation simultaneously as well as ultra-low temperature dependence rate. This strategy may be applicable to other SMAs such as Ni-Ti-based and Fe-based SMAs with high performance to achieve high elastic deformation of bulk metals or construction.