A-B Di-and B-A-B triblock copolymers with poly(tetramethyleneoxy) (poly(THF)) and poly(tetramethyleneoxycarbonylimino) (poly(TeU)) blocks were prepared by sequential polymerization of tetrahydrofuran (THF) and tetramethyleneurethane (TeU) with the monofunctional initiator methyl trifluormethylsulfonate and the bifunctional initiator trifluoromethanesulfonic acid anhydride, respectively. The block copolymers obtained after purification exhibit a monomodal narrow molecular weight distribution and a uniform microstructure of the two blocks as was deduced from gel permeation chromatography and NMR analysis. The block copolymers are semicrystalline materials with distinct melting points of the poly(THF) and the poly(TeU) domains.