In recent years, in order to solve the shortage of energy resources, organic solar cells have developed rapidly, and the photoelectric conversion efficiency has exceeded 16%. The development of organic solar cells is of great significance to the development of portable devices and the large-scale use of solar power generation in the future. The research of new materials is the key factor in the development of flexible organic solar cells. To develop large-area flexible organic solar cells, it is necessary to develop materials with better comprehensive performance. Now, new progress has been made in new flexible organic materials, which further improves the efficiency of flexible organic solar cells. This review mainly focuses on the analysis of the impact of representative flexible organic solar cell materials on the various of performances of photovoltaic cells in recent years and the prospects for the development of high-efficiency organic solar cells and the main research directions in this field in the future.