The proper selection of offshore wind turbines is crucial for the long-term efficient operation of offshore wind farms. Aiming at the problems of uncertainty and subjective preference of decision-makers in the decision-making process of wind turbine selection, an improved multi-criteria decision making (MCDM) framework and method was proposed: in the weight solving algorithm, group decision and intuitionistic fuzzy numbers were combined with analytic hierarchy process, and the group intuitionistic fuzzy analytic hierarchy process (GIAHP) was proposed to calculate the index weight, in the alternative ranking algorithm, the cosine distance was introduced into the technique for order preference by similarity to an ideal solution (TOPSIS), and the multi-distance TOPSIS was proposed to determine the alternative ordering. Finally, taking the selection of wind turbines in offshore wind farms in Shandong Province as an example, the robustness of the framework and method was verified by sensitivity analysis. The framework and method provide a theoretical basis for the selection of offshore wind turbines in China, which can ensure the long-term stable operation of offshore wind farms.