A light-sensitive recording element useful for preparing photopolymer flexographic relief printing plates, comprising at least one photopolymerizable recording layer having a thickness of from 0.1 to 7 mm and made up of:from 20 to 99.499% by weight of at least one polymeric binder which may be random ethylene-propylene-alkadiene terpolymers having an ethylene content of from 40 to 80% by weight and a double bond content of from 2 to 20 olefinic double bonds per 1,000 carbon atoms;from 0.001 to 10% by weight of at least one photopolymerization initiator,from 0.5 to 50% by weight of at least one monomer which is compatible with the binder and has at least one photopolymerizable olefinic double bond, andfrom 0.001 to 2% by weight of at least one inhibitor of thermally initiated polymerization and from 0.0001 to 5% by weight of at least one antioxidant as assistants.