Finite field multipliers are the basic building blocks in many applications such as error-control coding, cryptography and digital signal processing. Recently, many semi-systolic architectures have been proposed for multiplications over finite fields. Also, Montgomery multiplication algorithm is well known as an efficient arithmetic algorithm. In this paper, we induce an efficient multiplication algorithm and propose an efficient semi-systolic Montgomery multiplier based on polynomial basis. We select an ideal Montgomery factor which is suitable for parallel computation, so our architecture is divided into two parts which can be computed simultaneously. In analysis, our architecture reduces 30%~50% of time complexity compared to typical architectures.