This paper provides a comprehensive review of motion prediction methods for intelligent ship navigation, focusing on the dynamic environment and motion status of ships. It highlights the importance of accurate motion prediction in enhancing maritime safety, reducing collision risks, and optimizing route planning. The review covers various time scales, including long-term, short-term, and extremely short-term predictions, and discusses the challenges and advancements in modeling and predicting ship motion. Key issues such as online modeling, real ship validation, and consistency in modeling, optimization, and control are addressed. The paper also explores the integration of mechanism-data fusion modeling, large-scale models, and multi-objective motion prediction. Additionally, it reviews the application of motion prediction in motion control, collision-avoidance planning, and route optimization. The review concludes with a critical analysis of current trends and future research directions in ship-motion prediction.This paper provides a comprehensive review of motion prediction methods for intelligent ship navigation, focusing on the dynamic environment and motion status of ships. It highlights the importance of accurate motion prediction in enhancing maritime safety, reducing collision risks, and optimizing route planning. The review covers various time scales, including long-term, short-term, and extremely short-term predictions, and discusses the challenges and advancements in modeling and predicting ship motion. Key issues such as online modeling, real ship validation, and consistency in modeling, optimization, and control are addressed. The paper also explores the integration of mechanism-data fusion modeling, large-scale models, and multi-objective motion prediction. Additionally, it reviews the application of motion prediction in motion control, collision-avoidance planning, and route optimization. The review concludes with a critical analysis of current trends and future research directions in ship-motion prediction.