Alternating copolymers are obtained of sulfur dioxide with allyl phenyl ether, allyl p-nitrophenyl ether, N-allylbenzamide, N-ally1 p-nitrobenzamide, allyl cinnamate and allyl o-benzoylbenzoate. Copolymerizations proceed in high yield at -78OC in the presence of ferf-butyl hydroperoxide as initiator. However, copolymer yield is small for reactions initiated with 2,2'-azoisobutyronitrile at 50-60 "C. Ultraviolet spectra of the copolymers obtained show the presence of intense absorption bands in the range of 220 to 305 nm. SO, terpolymers have been obtained with allyl ethers, allyl amides or allyl esters and 1-heptene, 2-methylpropene or methyl acrylate. The effect of the structure of the monomers on the reactivity in polymerizations involving SO, is discussed on the basis of the composition of the products.