The quantum effects in the total intensity of radiation at channeling have been considered. It is shown that the problem can be considered in frame of magnetic bremsstrahlung limit. In a region, where quantum effects are weak, the general formulae have been obtained for quantum corrections to the total intensity of the channeling radiation. While in diamond and silicon the quantum effects become noticeable at energy of order 5 GeV, in tungsten the quantum effects lead to appreciable decreasing the radiation intensity already at energy 1 GeV: order of 25% at room temperature and 34% at T=77 K. 9 refs.; 3 figs.