Abstract: A process for the production of a superelastic material out of a nickel and titanium alloy, characterized by the fact that it consists in obtaining an ingot starting from a mixing of nickel and titanium consisting in 55.6%.+-.0.4% in weight of nickel and to proceed with a thermal treatment of martensite plaquettes generation by subjecting said ingot during 5 to 45 minutes to a temperature comprised between 480 and 520.degree. C. The process allows the obtaining of a truly superelastic material at room temperature.