The paper reports data on the emission of sapphire, KU-1 quartz, and synthetic diamond in the wavelength range of 200–800 nm excited by a pulsed electron beam with an energy of up to 350 keV. Broadband radiation, the intensity of which increases with decreasing wavelength in the range of 220–400 nm, was detected. Such dependence of the radiation intensity on the wavelength is characteristic of Cherenkov radiation (CR). Moreover, the duration of the radiation pulse coincides with that of the electron beam current pulse. For sapphire and quartz, the duration of radiation pulses at the spectral range 220–400 nm is close to the duration to electron beam current pulses. For synthetic diamonds, both cathodoluminescence and CR are detected in this spectral region. The intense band of free excitons with maximum at 235 nm is found at high beam current densities and electron energies 50–350 keV.