The invention relates to the technical field of high-carbon steel wire machining, and particularly discloses a high-strength and high-elasticity shape memory alloy chuck for high-carbon steel wire drawing. The high-strength and high-elasticity shape memory alloy chuck comprises two chuck main bodies, NiTi shape memory alloy plates are connected to the opposite surfaces of the two chuck main bodies through mounting plates, iron permeating layers are arranged on the opposite surfaces of the two NiTi shape memory alloy plates, and limiting mechanisms are arranged on the opposite surfaces of the two mounting plates. The mechanical characteristic that NiTi shape memory alloy stress induces martensite inverse phase transformation is applied, flexible loading is conducted on the clamped high-carbon steel wire, a stress platform is generated in the loading process, that is, the stress does not change along with the increase of deformation, and therefore it is guaranteed that the high-carbon steel wire does not generate stress concentration at the chuck position, the steel wire is prevented from being broken, the drawing efficiency of the high-carbon steel wire is improved, the iron permeating layer is attached to the surface of the NiTi shape memory alloy plate through a double glow plasma alloying technology, and the surface hardness of the NiTi shape memory alloy plate is improved.