This paper proposes a new type of evolvable hardware for implementing the clone of Moore State machine. The proposed Evolvable Hardware is employed efficient pipeline parallelization, handshaking mechanism and fitness function in FPGA. Genetic Algorithm(GA) has known as a method of solving NP problem in various applications. Since a major drawback of the GA is that it needs a long computation time, the hardware implementation of Genetic Algorithm is focused on in recent studies. Conventional hardware GA uses the fixed length of chromosome but the proposed Evolvable Hardware uses the variable length of chromosome by the efficient 16 bit Pipeline Unit. Experimental results show that the proposed evolvable hardware is applicable to the implementation of the clone for Moore State machine.