Abstract: Most of the security architecture uses public key cryptosystems for authentication and to secure the communication that takes place on distributes sites. Now a day’s identity based cryptography and certificateless public key cryptography are used for enhancing the security. Certificateless based cryptography has reduced the certificate necessity for key distribution and reducing the problem of key escrow that arise in identity based cryptography. A review based on identity based and certificate less based is carried out to show that how they are beneficial in future for enhancing distributed system security using Elliptic curve cryptography.