On the basis of method of steps in time the iterative model is built for describing the rheonomous behavior of layered medium of regular structure consisting of an isotropic material obeying constitutive equations of nonlinear-hereditary Yu. Rabotnov theory. Based on the theories of Timoshenko type the problem is formulated to calculate the creep of laminated plates of these materials, in view of their weakened resistance to the transverse shifts. The bending of annular plates made of regularly alternating aluminum and steel layers is investigated under creep conditions. It is shown that the classical theory is quite acceptable for the calculation of the behavior of such structures under short-term loading. At long load of the layered plate the deformations of the transverse shifts are actively and rapidly developed in the process of creep, therefore, the account of weakened resistance to the transverse shifts in the calculations on the creep of thin-walled elements in composite structures is required. The compliance of the plate predicted by the classical theory and the first version of the Timoshenko theory is substantially less than that which is determined according to the second version of the theory of Timoshenko. Therefore, it is recommended to use the second option Timoshenko theory for the calculation of creep of laminated plates.