The detailed optical scheme and principals of the superbroadband solid-state laser (SSSL) operation have been recently described. The important feature of the nanosecond SSSL output is a simultaneous oscillation of the radiation with different wavelengths. In order to obtain SHG of a superbroadband radiation in a single nonlinear crystal it is necessary to satisfy the phase-matching conditions for all oscillating wavelengths and to provide a high radiation intensity in the nonlinear media. For testing experiments, LiIO3 crystal is chosen as it exhibits a high nonlinear coefficient and exactly the same slope of a phase-matching angular dependence as the angular distribution of the SSSL infrared output. Experimentally, the SHG of about 80% percent of the LiF: F2- superbroadband oscillation spectra is realized with an overall efficiency of about 8-10%.