  This paper is an attempt to study the thermodynamics of the structure
formation in the large scale universe in the non local gravity using Boltzmann
statistics and the Tsallis statistics. The partition function is obtained in
both the approaches and the corresponding thermodynamics properties are
evaluated. The important thing about the paper is that we surprisingly get the
divergence free integrals and thus stress upon the fact that the nonlocal
gravity is the singularity free model of gravity.
