Problem of bending of uniformly loaded rectangular plate, clamped around the contour and lying on an elastic «Winkler» basis, is solved by the iterative method of superposition correcting functions. The transverse load can be expanded in double Fourier series. Correcting the function represented by a pair of hyperbolic-trigonometric series in two coordinates. The solution can be as much as accurate by increasing the number of members in the ranks and the number of iterations. Numerical results.