Abstract: Underwater wireless communication technology plays an indispensable and crucial role in areas such as marine resource exploration, marine security maintenance, and military applications. Among them, underwater acoustic communication is the main means to achieve stable long-distance transmission of underwater information. However, current underwater acoustic communication still faces many challenges; accurately describing the actual state of underwater acoustic communication channels and conducting appropriate modeling has become a focus of attention in the current academic and engineering circles. Therefore, it is particularly important to classify and organize the multipath channel modeling methods for underwater acoustic communication. This paper categorizes these methods based on their approach to channel description into deterministic channel modeling and stochastic channel modeling. Further refining according to modeling principles, deterministic channel modeling methods are classified into physical analysis-based, measurement-based, and mathematical theory-based channel modeling, while stochastic channel modeling methods are divided into geometry-based stochastic modeling and non-geometry-based stochastic modeling. This paper provides a chronological summary, review, and comparison of the existing channel modeling methods, offering a reference for further research and application of underwater acoustic communication multipath channel modeling.