The present invention relates to an improved method for preparing an ethylene-silane copolymer comprising hydrolysable silane groups by radical-initiated polymerisation of ethylene and an olefinically unsaturated silane compound, such as vinyl trimethoxysilane (VTMS). Said method is performed in a multi-zone reactor comprising two or more reaction zones, wherein advantageously essentially all of the silane compound is introduced into the first reaction zone to provide a higher conversion of silane monomer into polymer.