Open shop scheduling problem (OSSP) is one of the fundamental scheduling problems. Many scenarios such as vehicle maintenance, the medical system, and food processing can be modeled as OSSP in production and life. Therefore, this problem has essential application value and research significance. With the rapid development of artificial intelligence, the research of intelligent algorithms has increased explosively. Genetic algorithms, swarm intelligence algorithms, and artificial neural networks are several important intelligent algorithms that can solve OSSP. This paper summarizes the OSSP based on intelligent algorithms. Firstly, it briefly introduces the intelligent algorithm and OSSP. Then, the research on evolutionary algorithms and swarm intelligence algorithms to solve the OSSP is classified and summarized. Finally, the current algorithms for solving the problem are analyzed and discussed, the problems not solved by the existing algorithms are proposed. Furthermore, the development direction of intelligent algorithms for OSSP has been prospected.