The effects of doping Mo in SrCoO 3-δ on the elastic and thermal properties have been studied at temperature 10K≤T≤1000K by using Modified Rigid Ion Model (MRIM). The model has been applied to describe the temperature dependence of specific heat and thermal expansion coefficient. Also, the calculated bulk modulus (B), Reststrahlen frequency (), cohesive energy (), Debye temperature ( D ) and Gruneisen parameter () are reported and discussed.