This paper studies the optimal allocation of hybrid solar-wind island microgrid according to the richness of solar and wind resources, the output characteristics of distributed generations and the users’ requirements for the reliability of power supply. An adaptive penalty function method is adopted to correct the objective function so that the best economy performance can be achieved under the premise of meeting the requirements for the reliability of power supply. In the solving process, a new hybrid quantum genetic algorithm (HQGA) is proposed combining with the adaptive rotation angle adjustment strategy, crossover and mutation operation for quantum bits and the idea of population catastrophe. Finally a practical case is simulated through the proposed algorithm and the optimal results are compared with those obtained by quantum genetic algorithm and genetic algorithm. The result shows that the proposed method can not only rapidly converge, but also has a good global optimization capability.