Graphical Abstract: The interaction of cis-Re2(RCOO)2Cl4, trans-Re2(RCOO)2Cl4, Re2(RCOO)3Cl3 and Re2(RCOO)4Cl2 (where R - alkyl group) with 1,3,5-triphenylverdazyle radical in 1,2-dichlorethane was investigated. It is discovered, that gradual substitution of halogenide ligands by carboxylates in dirhenium(III) clusters led to slowing down of reaction with a radical due to different influence of these ligands on parameters of rhenium - rhenium bond. Presented data showed perspectivity of Re26+-substances applications as therapeutic agents due to their low toxicity and antiradical properties that occured by δ-component of quadruple Re-Re bond electron transition.