Through the research on the decoding algorithm of low-density parity-check (LDPC) code, a low complexity decoding algorithm suitable for quasi-cyclic LDPC (QC-LDPC) code is proposed in this paper. The algorithm adopts layered decoding (LD), and the sub-minimum is replaced by the sum of an optimal correction factor and the minimum during the process of the check nodes update. Therefore, it is not required to find the sub-minimum and the computational complexity reduces significantly. Mat lab simulation results show that the decoding performance of this algorithm is very near to min-sum (MS) algorithm, and more superior than single min-sum (SMS) algorithm.