Global System for Mobile (GSM) is a second generation cellular standard developed to cater voice services and data delivery using digital modulation. Short Message Service (SMS) is established as a widely used and wide spread approach for text messaging in present day’s immensely mobile reliant world. The current SMS hasn’t achieved secure transmission of plaintext between different mobile phone devices. SMS doesn’t have its own build-in mechanism to secure the transmitted data because security is not considered as a priority application for mobile devices. When this is the situation the imperative factor is “Security”. One commonly used technique to provide security is Encryption. It plays a vital role when confidential data is proceeding in the network by serving as a fortification for the original raw data avoiding intrusion. Many SMS security schemes have been proposed by the researchers. There are many conventional and symmetric encryption algorithms available to bestow this, each having its own level of security and performance. Considering all aspects our proposed system a means of providing high authentication Rivest shamir Adleman (RSA) algorithm for security to the messages shared which can be efficiently used in small devices like mobile phones.