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Laser SLAM (Simultaneous Localization and Mapping) is a widely used technology in the field of robot navigation and autonomous driving; The technique can use lidar to scan the environment and extract feature points, Realize the autonomous positioning and map construction of the robot; Research on the robotic laser SLAM technology, Analyzed the underlying principles of the various laser SLAM algorithms, And the mainstream SLAM algorithm is summarized; According to the characteristics and principles of the laser SLAM algorithm, The laser SLAM algorithm is divided into: filter based algorithm, graph optimization based algorithm, registration based algorithm, learning based algorithm and other algorithms; Based on the above classification, Details of the advantages and disadvantages of each algorithm, And described the main research results of the past two years; For the research status of laser SLAM algorithm in mobile robot, We discuss the future development of the laser SLAM algorithm.