Studying the properties of plasma have received great interest in both astrophysical and laboratory plasma applicatio n. The aim of this work is to calculate the triplet distribution functions for three-component dilute
relativistic plasma model. We consider here a dilut e hot plasma which is homogeneous and in equilibrium in the framework of classical relativistic statistical mechanics. Distribution functions are r epresented in the forms of a
convergent series expansion in terms of the plasma thermal parameter µ in these distributions where µ = mc^2 / KT, m is the typical mass of the particles, c is the speed of light, K is the Boltzmann’s constant and T is the absolute Temperature.