It is as of now realized that the use of web in the present period is expanding very quickly, numerous users are sharing open and private data over web/internet. They need to ensure security of information. Encryption is one of the most significant viewpoint which is helpful to verify secret data. In encryption, cryptography assume a significant role. There are many algorithms accessible to shield information from unapproved access. In this work, we will use the strategy for cryptography to build up an algorithm which is increasingly viable for correspondence and information trade. In this study, we use a procedure to assemble new substitution boxes (S-boxes) parallel to coset diagram for the action of Mobius group [1] on projective line over . Afterward, the analyses of constructed S-boxes are performed on the basis of algebraic and statistical analysis.