The data security plays a major role in our day to day life and protecting date is an issue in the current world. Data securi ty is essential during transfer the confidential data to others. In most of the cases, every computing device we narrate with on an everyday basis utilizes is in the form of encryption technology. Graph theory is growing as a promising field for this purpose. In this paper, we propose a method of data encryption using a circuit matrix. © IJSTR 2019.