Multi-junction solar cell is of great significance for increasing energy utilization, reducing environmental pollution and improving social and economic benefits. This paper will focus on the methods to improve the conversion efficiency of multiple solar cells based on information retrieval and literature analysis. Specifically, some of the significance milestones of the state-of-art scenarios will be briefly introduced in the field of multi-junction solar cells primarily. Afterwards, two well-performances state-of-art scenarios will be listed and discussed. The most popular methods to improve the conversion efficiency of multi-cell solar cells are compared and analyzed. Besides, some of the current limitations of multi-cell solar cells are demonstrated and a certain prospect for its future development is proposed. These results shed light on better converting solar energy into electric energy needed by human beings.