In the framework of an analytical approach the elastic-plastic deformation of bcc and fcc polycrystals in the macrouniform stress state is simulated using a discrete model. The suggested analytical method allows one to estimate in the three-dimensional statement an order of drawing polycrystal grains in plastic deformation with allowance for the factors affecting elastoplastic deformation of one-phase polycrystals. This approach can be easily generalized over a case of discrete polycrystal model.