An object of the present invention is to provide an oil resistant and weather resistant rubber composition which leads to a molded product (rubber product) that has a sufficiently high strength and hardness, and low compression set, and that is excellent in ozone resistance; and a molded product such as a hose and a seal using the same. The oil resistant and weather resistant rubber composition of the present invention comprises an epoxy group-containing acrylic-based rubber having an epoxy group in an amount from 0.01 to 1.5 mmol/g, and a carboxyl group-containing unsaturated nitrile-conjugated diene-based copolymer having a carboxyl group in an amount from 0.02 to 2.5 mmol/g. The rubber composition may further comprise a reinforcing agent, a plasticizer, a crosslinking agent and the like.