The theory of domination is one of the prosperous areas of research in graph theory. There are plenty of domination variants; each of them varies with the nature of its specific real life application. The domination variants are sometimes studied under various classes of graphs. The notion of eccentric graphs is one of the special classes of graphs defined using the variant of eccentricity of vertices in graphs. The characterizations of eccentric graphs yield interesting graphs. In this article we investigate few widely used domination parameters for some particular classes of eccentric graphs. © Research India Publications.