Heterogeneous ironporphyrin-containing biomimetic catalysts were investigated for their selectivity in relation of determined compound in the cyclohexane gas-phase oxidation process and mixture of the latter with its derivatives by hydrogen peroxide. On the basis of experimental investigations of the cyclohexane monooxidation process it was investigated that the complex reaction, consisting of parallel-consecutive monooxidation reactions and oxidative dehydrogenation, which are the coherent-synchronized reactions were proceed on the biomimetic catalyst. The probable mechanisms of cyclohexane biomimetic transformation to desired products, in which there is a unity of mechanisms of acid-base catalysis and the redox system by the principle of BRC (bonds redistribution chain) typical for enzymatic catalysis, were presented. The direct oxidation of methane to methanol by hydrogen peroxide also was investigated in the presence of biomimetic catalyst.