The controlled radical copolymerization of ethylene (E) and vinyl acetate (VAc) is further investigated by organometallic-mediated radical polymerization (OMRP) using Co(acac) 2 as controlling agent at ethylene pressure up to 100 bar. The effect of ethylene pressure on kinetics, level of control and copolymer composition, is discussed. Ethylene-Vinyl Acetate copolymers (EVAs) with low dispersities and ethylene content reaching 57 mol% are notably reported. This work also successfully addresses the precision design of EVA-containing block copolymers, i.e. PVAc-block-EVA. In this case, the order of the synthesis of the blocks is a key parameter. The "PVAc-first" strategy is by far more practical and efficient.