A new non-equilibrium statistical thermodynamics perturbation theory was developed which could be applied in parallel to equilibrium statistical thermodynamics perturbation theory. The present method is based on the reminiscent of Boltzmann H-theorem. The concept of the non-equilibrium statistical thermodynamics perturbation theory formalism to the non-equilibrium ensembles method has been embodied and utilized. The acquired equation can be used for molecules in fluid state to estimate the non-equilibrium internal energy in terms of non-equilibrium internal energy of the reference fluid. With grossly simplifying methodology, a closed-form equation has been deduced for the Maxwell molecules as the reference fluid for which the used pair interaction potential is proportional to the inverse power of the fourth order of separation distance.

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