In the last decade many researches on wastewater treatment are directed to development of ecologically effective and economically reasonable technologies. A number of researchers give preferences to perspective oxidizing processes which are based on generation of strong oxidizing agents – hydroxyl radicals. These processes can be realized in both the chemical, and electrochemical way. They are intended for processing of the wastewater containing the hardly oxidized organic compounds. This work has been aimed at realization of advanced oxidation process of destruction of oganic compounds in the electrochemical way in the coaxial diaphragmless electrochemical reactor. As material of the cathode used stainless steel, and the anode – oxide-ruthenium titanic anode (ORTA). The choice of a configuration of the electrochemical reactor is explained by more symmetric distribution of current at an essential difference of the areas of electrodes (the cathode and the anode). At the same time on the basis of the analysis of a number of works it is postulated that process speed on the central electrode - the cathode will be much more than the speed of process on a peripheral electrode. Object of a research were the imitata of wastewater representing water solutions of aromatic compounds – 1,3 dihydroxibenzene and sodium salt 3,4-dihydroxy-9,10-dioxoanthracenesulphonic-2 acid. Electrochemical the method has been based on electrochemical generation of oxidizing agents in the indirect way. Method of indirect oxidation consist in electrochemical generation on the cathode of hydrogen peroxide or metastable radicals as a result of electrode reaction with oxygen participation (a heterogeneous stage) and the subsequent chemical reactions of intermediat (HO∙, HO2∙) with organic substrata in volume of electrolyte (a homogeneous stage). In view of the fact that in practice the majority of electrochemical processes goes on diffusive kinetics, the diffusive model is assumed as a basis. The structure of a stream is described by the equation of molecular diffusion, and the parameter of model is the coefficient of longitudinal hashing (coefficient of convective diffusion). The structure of a stream is described by the equation of molecular diffusion, and the parameter of model is the coefficient of longitudinal hashing (coefficient of convective diffusion). The fact of electrochemical generation of oxidizing particles, lack of course of oxidizing electrochemical processes on electrodes with participation of organic substances, and also their destruction in the coaxial electrochemical reactor have been confirmed with results of a cyclic voltamperometry and molecular ranges. Results of an experiment have shown that extent of transformation of organic substances which was estimated by size TOC has made 95,8%. The optimum size of density of current has made 10-12 kA/m2 and optimum time for destruction of organic substances 3 hours (180 min.).