Some theoretical and practical aspects of the development of supported metalcomplex catalysts (SMCCs) for the low-temperature air purification to remove CO, PH3, and O3 in small-size collective and individual respiratory protective devices for people employed in different productions. Kinetics and mechanisms of reactions 2CO + O2 = 2CO2, PH3 + 2O2 = H3PO4, and 2O3 = 3O2 in the presence of some homonuclear or heteronuclear metal complexes were studied in detail. There were shown significant advantages of SMCCs which activity can be changed in a wide range by the varying a nature of a carrier, of surface ligands, and of a central metal ion as well as by the changing the number of ligands in the coordination sphere of the latter and the metal : ligand ratio. There has been proposed a theoretical model to predict the effect of both structure-adsorption and physicochemical properties of carriers on the composition and catalytic activity of the acido complexes supported. For oxide carriers, their structure-adsorption properties are not determining (the activity of metal-complex catalysts does not depend on the carrier specific surface) while a nature of their functional groups affects both the formation mechanism and a mode of bonding between a metal complex and a carrier surface. For carbon carriers, the both factors influence substantially the activity of SMCCs. The ozone decomposition reactions occur according to a chain-radical mechanism, so, it is necessary to consider a contribution made by a carrier to both the initiation process and the radical stabilization. Some examples of SMCCs application: different ligand containing heteronuclear Pd(II)-Cu(II)/TZKM catalysts are used in apparatuses for sanitary air purification to remove CO; heteronuclear Cu(II)-Cl-Pd(II)/CFM catalysts are used in “Snezhok GP-E” type light-weight respirators for the protection against phosphine at its concentrations 1.5 mg/m3 (15 MPC) at most; CuCl2/CFM catalyst is used in “Snezhok GPE-Ozon” type respirators at ozone concentrations 1.5 mg/m3 (15 MPC) at most.