This paper develops the Dark Matter by Gravitation theory, DMbG theory hereafter, in clusters of galaxies.Originally this theory was developed by the author for galaxies, especially using MW and M31 rotation curves.An important results got by the DMbG theory is that the total mass associated to a galactic halo depend on the square root of radius, being its dominion unbounded. Apparently, this result would be absurd because of divergence of the total mass. However it is the Dark energy the responsible to counterbalance the DM. As the DE is negligible at galactic scale it is needed to extend the theory to clusters in order to study the capacity of DE to counterbalance to DM. Put in brief the main goal of this paper has been to develop the DMbG theory at cluster scale. In this paper the DMbG theory finds unexpected theoretical results because it is at cluster scale where DM and DE are counterbalanced mutually. In this work it is defined, the total mass as baryonic matter plus DM and the gravitating mass as the addition of the total mass plus the negative mass associated to dark energy.In clusters it is defined the zero gravity radius (RZG hereafter) as the radius needed by the dark energy to counterbalance the total mass. It have been found, that the ratio RZG / RVIRIAL = 7.3 and its Total mass associated at RZG is 2.7 MVIRIAL .This works postulates that the factor 2.7 may equilibrate the strong imbalance between the Local mater density parameter (0.8) versus the Global matter density one (0.24). Currently this fact is a big conundrum in cosmology.Also it has been found that the zero velocity radius, RZV hereafter, i.e. the cluster border because of the Hubble flow, is 0.6u2022RZG and its gravitating mass is 1.5 MVIRBy derivation of the gravitating mass function it is calculated that at 0.5RZG this function reaches its maximum whose value is 1.57 u2022MVIRThroughout the paper some of these results have been validated with recent data published for MW or M31 galaxies and the Virgo or Coma clusters.By other side, these new theoretical findings offer to scientific community a wide number of tests to validate or reject the theory. The validation of DMbG theory would mean to know the nature of DM that currently it is an important challenge for the astrophysics science.