The dynamic elastic moduli of the porous alpha-two titanium aluminide compacts are measured using an ultrasonic technique. Both shear and longitudinal velocities are measured for compacts of different densities, making computation of all the four elastic constants, namely, the Young’s modulus, shear modulus, bulk modulus and Poisson’s ratio. The dependence of these on the relative density are correlated and compared with some earlier models, and some of the uncertainties in the earlier models are discussed.