Abstract: The offshore wind power to hydrogen technology provides a feasible way to solve the energy consumption needs of remote island users. To address the issues of offshore wind power output uncertainty and single island energy supply mode, this paper proposes a robust optimal scheduling model for island multi-energy microgrid considering offshore wind power to hydrogen using probabilistic box-improved multi-scenario confidence gap decision-making. Firstly, an operation framework for island multi-energy microgrid containing offshore wind power to hydrogen system is designed based on the existing state of island energy use. Secondly, considering the uncertainty of wind power generation and the demand response, a robust optimal scheduling model for island multi-energy microgrid is developed using the probabilistic box theory and the multi-scenario confidence gap decision-making theory, and the grey wolf optimization algorithm is employed to solve the model. Finally, using an island in Guangdong for case study, the simulation analysis demonstrates that the proposed model can significantly improve the wind power consumption, effectively lower the energy-use cost of multi-energy complementarity, and be more economical and environmentally friendly.