The nonlinear problem of the propagation of waves on the free surface of the layer of viscous incompressible fluid of infinite depth in the plane case. Using small parameter method, this nonlinear problem is decomposed into problems in the first two approximations that consistently allowed. Nonlinear expressions for the components of the velocity vector, the dynamic pressure and the shape of the free surface. The motion of particles of the viscous fluid caused by the spread of the wave of the free surface.