Mathematical models of dynamics of the spacecraft with a solar sail to control orbital motion and rotation of the entire structureare considered. The movement of a spacecraftby a solar sail is based on the effect of light pressure. The magnitude and direction of the light pressure force vector is determined by the size and properties of the sail surface and the orientation angle relative to the sunlight flux. It is possible to vary the properties, sizes or locations of the sails to control the motion. Turning the elements of the sail, we get the opportunity to control the direction of the vector of the acting force and the moment with respect to the center of mass. Specificity of solar sail control is the interaction of orbital motion and rotational movements of the entire structure, which could provide the desired orientation and stability at small perturbations. The solar sail can be used for flights to the major planets, to meet with asteroids and comet, to realize a special desired motion in the neighborhood of the Sun or near the Earth.