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Path planning algorithm is the key technology to realize autonomous navigation of mobile robot. Aiming at the research on mobile robot path planning technology, the realization mechanism and principle of each algorithm are analyzed, and the research status of mainstream path planning algorithms is systematically summarized. According to the characteristics of the mobile robot path planning algorithm, the path planning algorithm is divided into: traditional planning algorithm, intelligent planning algorithm, and sampling-based planning algorithm. Based on the above classification, the main research results in recent years are described separately, and the advantages and disadvantages of various algorithms are mainly analyzed. In view of the research status of mobile robot path planning algorithm, the future research direction is prospected, which provides some ideas for the development of mobile robot path planning.