This paper presents a description of the creation of heterogeneous catalysts by plasma-chemical methods using a powerful pulsed fusion gyrotron. The microdisperse particles for catalysts are created by irradiating a mixture of copper (Cu) and dielectric (aluminum oxide, silicon oxide, titanium oxide, silicon–aluminum oxynitride) powders by the microwave radiation of a gyrotron, which initiates plasma-chemical reactions inside the mixture and in the air above it. These are complex chain reactions of self-propagating high-temperature synthesis. As a result of these reactions, microparticles of dielectrics into whose surface Cu nanoparticles are imbedded are created.