Recently the radiation of relativistic electrons and positrons, arising under channeling in single crystals, was successfully observed /1, 2/. The radiation occupied the hard X-ray region at the GeV energy of channeled particles with the peak spectral density about two o r d e r s of magnitude l a r g e r than the spectral density in the case of bremsstrahlung from the amorphous target.Such an X-ray source is of a great interest for irradiation technology of materials and solid state physics.