A model of orthogonally reinforced medium, a binder which is orthotropic material and the fibers of all families have the ability to transverse isotropy, and allows to determine the effective thermomechanical characteristics of the hybrid composite. A comparison of experimental data with the calculated values of the effective stiffness, coefficient of linear thermal expansion and strength characteristics of the cross-reinforced boroalyuminievyh compositions organoplastic, epoksiborovoknitov and hybrid composites at different densities of reinforcement and orientation angles of fibers obtained (values) on the basis of textile models, with one-dimensional fibers and different structural models with the “spatial” fibers, taking into account the difficult state of stress in the reinforcement.