Abstract: The method of screening solid materials resides in feeding a solid material onto a sifting surface and imparting oscillations to surface under the action of an effort directed at an angle to the longitudinal axis of the sifting surface, providing for moving particles of the solid material directly engaging the sifting surface from the loading zone to the discharge zone at an acute angle to the vertical component of the applied effort, and limiting their displacement in a direction normal to the sifting surface. The apparatus for performing the method comprises a box carrying a vibrator and a support frame with a sieve secured thereto at an angle to a vertical plane including the longitudinal axis of the box, the sieve being associated with a screen for limiting the displacement of the solid material particles in a direction normal to the surface of the sieve.