Abstract: In a method of X-radiation sorting of raw materials, after the stock lumps have been spread in monolayer on the transporting surface and stabilized, they are brought into the mode of unsupported movement along the stabilized paths without rotation. The exposure of the lumps to X-radiation, the measurement of the secondary radiation from the lumps, and the selection thereof are all carried out during this unsupported movement of the lumps. An apparatus for X-radiation sorting of raw materials comprises a steeply inclined vibrating feeder (4) conjugate to a preceding slightly inclined vibrating feeder (3) with a stabilizer (5) located thereabove for stabilizing the lumps of the stock. Over a section (14) of joining the conjugate vibrating feeders (3,4), there is disposed a second stabilizer (6) compensating for the lump torques produced at the point where the lumps pass onto the vibrating feeder (4).