Present study is based on high pressure and high temperature study of thermoelastic properties of nanomaterials. We are using Equation of state for studying variation of volume thermal expansion, thermal expansivity, bulk modulus, volume compression and relative isothermal expansion coefficient with temperature and pressure.we have reported the results obtained for thermo physical properties of nanomaterials i.e. n-SnO2, n-CeO2, n-PbS, n-MgO, n-CuO, n-AlN, n-ZnO, n-NiO, n-TiO2, n-Ni, n-Ti, n-(Ni+Fe), n-Mo and individual single wall carbon nanotube (SWCNT), under the effect of high temperatures and high pressures. We compared our results with available experimental data, it is found that the present approach is well suited for study of elastic properties of nanomaterials under high pressure and high temperature.