In the field of Computer Science and Information Technology Internet of Things (IoT) is one of the emerging technologies. In IoT environment several devices are interconnected and transmit data among them. There may be some security vulnerability arise within the IoT environment. Till date, IoT has not been widely accepted due to its security flaws. Hence to keep the IoT environment most robust, we propose a stable security framework of IoT with Elliptic Curve Cryptography (ECC) using DNA Encoding. The ECC is most lightweight cryptography technique among other well known public key cryptography techniques. To increase encryption complexity, DNA encoding mechanism of DNA computing with ECC is preceded.