n this paper we study the existence of the fixed points for pointwise Chatterjea type mappings with respect to a c-distance in cone metric spaces endowed with a graph. Our results are generalizations of some fixed point theorems given in terms of a c-distance from cone metric spaces equipped with a partial order to cone metric spaces endowed with a graph. The main improvements of our results refer to the fact that we do not need to suppose the continuity of the mapping nor the normality of the cone.