Comparison of seismic velocities in mantle metals under mantle conditions with seismic data is the first step towards constraining mantle chemistry. The calculation, however, is uncertain due to lack of data on certain physical properties. The Grüneisen parameter ( γ ) is of much importance regarding to the physical properties of mantle metals, because it sets limitations on the thermo elastic properties of the lower mantle and core at different compression ratio.The Grüneisen parameter of ten transition metals; Mo, Cd, Co, Zn, La, Cu, Ag, Au, Fe and Hf have been calculated using three equation of states viz; Brennan Stacey EOS, Shanker EOS and Vinet EOS, taking isothermal bulk modulus and its first pressure derivative into the consideration. On the basis of calculations it is concluded that, except for Hf, the Shanker EOS is the best for calculating Gruneisen parameter at both high and low compression ranges for transition metals, where as Vinet EOS is applicable at high compression ratio.