MAST! Institute is participating in the 8th International Conference on Maritime Transport in Barcelona 17th – 18th September, 2020 and presenting the paper: A Survey of Machine Learning Approaches for Surface Maritime Navigation. In this paper we will present the state of the art in the field of autonomous surface ship navigation using machine learning and discuss the main challenges of developing fully autonomous navigation system. We present also our ideas how machine learning approaches, Imitation learning and reinforcement learning, could be the solution for COLREGS -based autonomous navigation systems.