  In this work, based on the cluster expansion of the energy functional, we
have extracted a formalism for calculation of the thermodynamic properties of
fluids with non-spherical molecules. The salient feature of the extracted
formalism is that it has no restrictions on the type of interaction. In fact
our formalism can be employed for all types of realistic inter-particle
interactions. Here, for the interaction of two anisotropic molecules, we have
applied the Gay-Berne potential. Finally, we have applied this formalism to
calculate some thermodynamic properties of fluid H_2 which shows some expected
results.
