The reactive ion etching of silicon and silicon oxide in CF4+H2 plasma is considered by the proposed model, which includes processes of adsorption, chemical reactions, desorption, sputtering, and stochastic mixing. The etching rates are calculated as functions of concentrations of chemically active and inactive plasma components and ion bombardment parameters. The chemical composition of CF4 + H2 plasma is calculated to achieve the goal. It is found that the reaction products and CF2 radicals cover the silicon surface. CF2 radicals penetrate in the bulk and form an altered layer in the near-surface region. At high H2 content in the feed (>30%), the deposition of fluorocarbon polymer takes place. Meanwhile, the concentrations of adsorbed layer components are low during SiO2 etching in CF4 + H2 plasma.