An acrylic rubber obtainable by copolymerizing a monomer mixture of:(A) 70 to 99.99% by weight of at least one compound selected from the group consisting of alkyl acrylates and alkoxyalkyl acrylates,(B) 0.01 to 10% by weight of at least one compound represented by the general formula: ##STR1## wherein R.sup.1 is a hydrogen atom or a methyl group; X is a hydrogen atom, --COOR.sup.6 (R.sup.6 is an alkyl group having 1-10 carbon atoms or an alkoxyalkyl group having 2-14 carbon atoms), or ##STR2## R.sup.2, R.sup.3 and R.sup.4 are independently hydrogen atoms or groups having 1-10 carbon atoms whose carbon atom adjacent to C.dbd.C has no hydrogen; R.sup.5 is a group having 1-10 carbon atoms whose carbon atom adjacent to C.dbd.C has no hydrogen; Y is ##STR3## or --O--; and n is 1 or 0, and (C) 0-20% by weight of at least one compound selected from the group consisting of other unsaturated compounds of the vinyl type, vinylidene type and vinylene type, in the presence of a radical polymerization initiator. Said acrylic rubber, when crosslinked with a crosslinking agent, gives a cured article having good heat resistance and a good compression set property and accordingly suitable for use as a hose or a sealing material.