For the first time observed that at the initial stage of a high-current discharge, a low-divergence short (< 2 ns) electromagnetic pulse is formed over a ferrite surface. The 50% part of this pulse lies in the region of fairly hard x-ray radiation (hν >1 keV) with an energy ∼0.6 mJ and an average power 0.3 MW. The radiation propagates parallel to the surface in the anode direction with the angle divergence < 2°. The high directionality of the radiation in absence of the aperture-limiting devices for the radiation beam and the quadratic dependence of the spatial radiation energy flux density on the working part of the ferrite prism points to the coherent nature of the observed radiation. A possible generation mechanism of the radiation is proposed. It is based on the short-lived magnetization of the unit areas on the ferrite surface by a high-power electromagnetic pulse and subsequent coherent interference of the unit waves irradiated by these areas.