In the current information technology world, the electronic payment seems to be unavoidable. The customers started purchasing day to day items through online shopping. The customers have to use their username and password for any item to be purchased. There is a possibility that their passwords can be hacked by the hackers. Under these circumstances, the passwords should be encrypted by a trustworthy person. In literature, there exists lot of mechanism for encrypting the password. But in the recent decades, the usage of bio-inspired computing model has started playing a major role in cryptography. In this paper, we propose one such mechanism of password generation by using DNA and RNA computing. In addition to that, we show the implementation of the proposed algorithm using Python. Copyright © 2018 American Scientific Publishers. All rights reserved.