The formal kinetics of the oxidation of some azo dyes and acid anthraquinone dyes with hydrogen peroxide in systems of the type Mn (II)-ligand-H2O2 (in neutral and basic medium) and Fe(II)-ligand -H2O2 (in weak acid medium) are presented. Decoloration degree of dyes used reachs values 70-100%, all colorants used can be arranged in the folloing decreasing order of decoloration rate: direct azo dyes, reactive azo dyes and acid anthraquinone dyes. The rate of decoloration in the system Mn(II)-HCO3 - -H2O2 is 8 times as fast as the one in the Fenton system. The principal active particles generated in these systems are detected and the mechanism scheme of the oxidation processes is proposed. According to the rate of p-nitrosodimethylaniline decoloration (specific acceptor of the OH-radicals) in the presence of the different quantities of dyes, the rate constants of OH.+ dye interaction with values in the limits (0,43-6,17)⋅1010 M-1⋅s-1have been determined. The mechanisms in the mentioned systems are considered to be ion-radicalic (cyclic or radical-chain). The influence of UV-irradiation on the oxidation process of dyes in the noncatalytic and catalytic systems Mn(II)-HCO3 - -UV/H2O2-S has been studied, for OH.-radicals generation «DRT-1000W» lamp was used. It has been established, that the main oxidative particle is hydroxyl -radical. The regularities and effectivity of both systems used have been compared. It was determined the chemical oxigen demand (COD) by oxidation with potassium dicromate in sulfuric acid and heating for two hours. COD varies from 4 to 94% depending on the system used. The main steps of the primary purification of polluted waters from dyes are proposed. The catalymetric method for the determination of the microquantities of manganese in natural waters on the basis of catalytic system Mn(II)-HCO3 - -H2O2S (S- acid anthraquinone dyes has been elaborated. The minimal concentration of manganese which can be detected is 2⋅10-7 M in the systems Mn(II)-HCO3 -- H2O2ABA and Mn(II)-HCO3 -- H2O2 -AB 78. The sensibility of the proposed method is not high but the method itself is very selective.