This paper is the first report on the atom transfer radical copolymerization of unsaturated cyclic acetal, 4,7 dimethyl 2 methylene 1,3 dioxepane(DMMDO) and styrene(St) in the presence of α bromobutyrate as the initiator and CuBr/2,2 bipyridine as the catalyst/ligand at 110 ℃ was investigated. Both DMMDO and St components could be found in main chains of the obtained polymer, and the copolymer had a narrow molecular weight distribution. DMMDO component in the copolymer contained both addition and ring opening units, thus the ester bond was introduced into the main chain, and the copolymer could be chemically degradable and biologically degradable.