A rubber composition comprising a diurethane compound and a basic vulcanization accelerator that are indicated by general formula R2(SO2)m(CH2)nOCONH-R1-NHCOO(CH2)n(SO2)mR2 (where R1 is a C1–C20 straight chain or branched divalent aliphatic alkylene group, a divalent alicyclic cycloalkylene group, or a divalent aromatic group, R2 is a group that can decompose by the action of a basic vulcanizing agent and generate diamine, when it has a carbamate structure, n is 0, 1, or 2, and m is 0 or 1) contained, as vulcanizing agents, in an ethylene–(meth) acrylate-based copolymer that has been copolymerized at a ratio of 40-79.9 mol% ethylene, 20.00–50.00 mol% alkyl (meth) acrylate having a C1–8 alkyl group and/or an alkoxy alkyl (meth) acrylate having a C2–8 alkoxy alkyl group, and 0.05–20.0 mol% unsaturated dicarboxylic acid anhydride. This rubber composition can provide a vulcanized product having excellent thermal resistance, oil resistance, and moldability.