Nanomaterials have been the subject of enormous interest since last few years due to extremely small feature size and have the potential for wide-ranging industrial, biomedical, and electronic applications In the present research work the high pressure behaviour of nanomaterials like 67 nm and 37 nm γ-Al2O3, 3C-SiC, nanocrystalline Ni, nano ε-Fe are studied using potential free equations of state (EOS). The calculated values of mechanical properties such as compression, bulk modulus for the nanomaterials come out to be in reasonable good agreement with the available experimental data. It has been observed that Tait’s EOS is suitable for predicting the mechanical properties of nanomaterials successfully.