The problem of a transverse-longitudinal bending the Kirkhoff layer-plates of the variable thickness reinforced by fibres of a constant cross-section and working in conditions of steady creeping of all phases of a composition is formulated. The system of the resolving equations and boundary conditions matching her is analysed. The method of the solution of a task in view is developed. The way of an approximate solution of such problems to conditions of unsteady creeping is specified. The concrete calculations which have shown are lead, that speed of a bending flexure of the steady creeping of plates essentially depends on structure of reinforcement, from extent of a distance of carrying layers, and also from an type and a level of a loading of a design.