Along with the growth of several research areas in graph theory,the study of domination in graphs has witnessed a speedy growth in the past few decades. The concept of domination is widely used in the areas which are mainly associated with the location of service centers. In social networks it is used in the selection of representatives. Its application plays a vital role in various areas such as social network problems,biological model networks,service locations problems,communication networks,etc. The speedy growth and the increasing nature of applications of the concept of domination have caused the extension of the notion ‘domination numbers’ to another notion,‘domatic numbers’ in graphs. Having motivated by the huge uprising and widely applying nature of the theory of domination in graphs,in this article,we study the parameter of domatic numbers of a special class of graphs namely,‘ Eccentric graphs’ for some special cases. © 2016,International Journal of Pharmacy and Technology. All rights reserved.