Installing winglets can notably improve the aerodynamic performance of solar aircraft. This paper proposes a multi-constraints optimization method of winglets for solar aircraft, aiming to enhance the corresponding uninterrupted cruising capability. An optimization objective function is formed and is separately studied in aerodynamic and structural terms. Qualitative analysis shows that the winglet design parameters are restricted by four special constraints (geometry, aerodynam-ics, energy and stability) of solar aircraft. The optimization process is constructed on the basis of a multi-island genetic algorithm, and carried out for a 15 m wingspan solar aircraft. Although the designed winglet is not as good as the traditional winglet in terms of drag and structural weight, the designed winglet provides a better 24 h cruising capability. The sensitivity between the objective function and the design parameters is investigated, and the winglet effects vary with respect to the wing aspect ratio (AR=10, 15, 19.6). The effect of the constraints is analysed quantitatively, and some basic laws are obtained. Moreover, the feasible design region and the possible optimal design parameters of winglets for different wing configurations are explored. The calculation results show that when the aspect ratio exceeds a certain value, the winglets will not benefit the aircraft.