Poly(A-PTHF) can not be obtained from the conventional free radical polymerization

or atom transfer radical polymerization or reversible addition-fragmentation chain transfer polymerization of A-PTHF

due to low conversion and low degree of polymerization of poly (A-PTHF)．Thus

the homo-polymerization of A-PTHF macromonomer was performed under 60Co γ-irradiation with EPDTB(1-(ethoxycarbonyl)prop-1-yl dithiobenzoate) as initiator．After precipitated from methanol

pure poly(A-PTHF) was obtained．The block copolymerization of St was performed using Poly(A-PTHF) as the transfer agent and DCP(dicumy peroxide) as the initiator．Both of the homo-polymerization and the following copolymerization are controllable．The evidences are the linear relationship between In([M]0／[M]) and polymerization time

the linear evolution of Mn with conversion and the narrower polydispersities．The molecular structures of the poly(A-PTHF) and the block copolymer PSt-b-P(A-PTHF) were characterized by 1H-NMR as well as gel permeation chromatography(GPC)．The polymerization mechanism of the homo-polymerization of(A-PTHF) and the copolymerization of poly(A-PTHF)with St were discussed respectively．