A vulcanizable elastomer composition comprising an alpha -olefin copolymer comprising ethylene and an alpha -olefin(s) and an ethylene copolymer comprising ethylene and at least one member selected from the group consisting of acrylic and methacrylic esters, which has an excellent roll-processability and gives by vulcanization an elastomeric material having well-balanced properties in respect of resistance to heat and oil, low-temperature property and the like.
