The following system of partial differential equations are examined:   Px μ + uux + vuy = λ△u + Fx Py μ + uvx + vvy = λ△v + Fy ux + vy = 0 (1) P = P(x, y); u = u(x, y); v = v(x, y); F = F(x, y); ux = ∂u ∂x ; △u = uxx + uyy; x, y ∈ R. The system (1) describes the process of plane stationary flow of a liquid or gas. This system represents the Navier-Stokes equations in the case of 2D stationary motion of a viscous incompressible fluid. The P function represent the pressure of the liquid, and u, v functions represent the flow of the liquid or gas, F represents the external forces. The constants λ > 0 and μ > 0 is a determined parameter of the studied liquid’s (of the gas) viscosity and density. We mention here that a = c Re , c > 0, where Re is the Reynolds number. Applying the method of separation of variables, a series of solutions is determined of system (1).