Mechanical properties of TiAl base alloys strongly depend on the microstructure. To understand the effect of microstructures on the properties, it is essential to evaluate the properties of constituent phases. In this study, the Young's modulus and hardness of beta-Ti and gamma-TiAl phases were measured using nano-indentation method in Ti-Al-Cr ternary system, and their Cr content dependence was examined. In Ti-44Al-4Cr alloy equilibrated at 1373 K, beta phase, indented from 001 direction, shows the Young's modulus of 140 GPa and the hardness of 6.8 GPa. In contrast, gamma phase, indented from 001 direction, shows the Young's modulus of 154 GPa and the hardness of 3.1 GPa. The Young's modulus of beta phase increases with Cr content and the hardness does not depend on Cr content. On the other hand, either the Young's modulus or hardness of gamma phase does not change much with Cr content.