In order to design a two-dimensional grating coupler(2D-GC) with high efficiency and low polarization coupling related loss, a plum-like 2D-GC based on silicon-on-insulator(SOI) is proposed. The 2D-GC is composed of several cells arranged periodically, and the pattern of each cell is like plum blossom. The cell in the structure is composed of two pairs of circular patterns. The finite difference time domain(FDTD) method is used to simulate and optimize the structure parameters of the 2D-GC. The simulation results show that the effective working band of the proposed 2D-GC is 1.525~1.6 μm, the optimal coupling efficiency is 56%, the corresponding coupling loss is -2.4 dB, and the polarization related loss is 0.18 dB when the parameter structure is optimized.