The proposed GF(2193) is based on an efficient Montgomery add and double algorithm, also the karatsuba-offman multiplier and Itoh-Tsjuii algorithm are used as the inverse component. The hardware design is based on optimized Finite State Machine (FSM), with a single cycle 193 bits multiplier, field adder and field squarer. The different optimization at the hardware level improves the acceleration of the ECC scalar multiplication; increases frequency and the speed of operation such as key generation, encryption and decryption. Finally the authors have to implement their design using Xilinx XC4VLX200 FPGA device.