The invention provides a flexible solar wing used for satellite power supply and a two-degree-of-freedom storage device applied to the flexible solar wing. The flexible solar wing comprises elastic supporting rods and flexible wings, wherein the elastic supporting rods are installed on a satellite and stretch outwards; and the flexible wings are connected with the satellite and the ends, away from the satellite, of the elastic supporting rods. Solar batteries arranged in an arrayed mode are arranged on the front side of the flexible wings. The flexible wings are used for carrying the solar batteries, so that the flexible solar wing is folded conveniently, the occupied space is small, the plane after the flexible solar wing is unfolded is large, and the high-power supply requirement of the whole satellite can be well met by tracking the sun in a two-degree-of-freedom mode; and in addition, the weight of the flexible wings is low, and the problem that a solar battery assembly made of metal plates is large in occupied space and high in weight is solved.