The objective of this study is to obtain a new biomaterial to use in the load transfer medical implants field. The influence of cold work in the thermoelastic martensitic transformation and elastic modulus was investigated for a previously developed Ti-24.8Nb-16.2Hf-1Zr alloy (A1) and a new Ti-35Nb-9Hf-1Zr alloy (A2). The nanoindentation tests with spherical tip showed a decrease of the elastic modulus when increasing the cold work percentage. The lowest value (46 GPa) was achieved after the 95% reduction in thickness for A1. By contrast, the A2 alloy exhibits its lowest elastic modulus in the uncold-worked condition (58 GPa) and did not present evidences of thermoelastic martensitic transformation.