SSL (Secure Socket Layer) is currently the most widely deployed security protocol, and consists of many security algorithms, but it has some problems on processing time and security. This paper proposes an HESSL (Highly Enhanced Security Socket Layer) protocol that provides better security and processing time than an existing SSL protocol. As HESSL consists of just F_{2^m } ECC (Elliptic Curve Cryptosystem), F_{2^m } HECC, BSB, and SHA algorithm, this protocol reduces handshaking process by concatenating a shared private key of F_{2^m } ECC, F_{2^m } HECC and proposed BSB and improves processing time. In particular, BSB algorithm provides better confidentiality than those used by SSL because of four processes of byte-exchange key, Shift Round key, ASCII Code key and bit-xor key after selecting two blocks randomly.