A rubber composition for vibration damping rubbers, comprises a rubber component, a sulfur-based vulcanizing agent, a resin, and a bismaleimide. The resin is a mixed resin comprising at least an aromatic hydrocarbon resin and an aliphatic hydrocarbon resin. When the total amount of the rubber component is regarded as 100 parts by weight, the rubber composition preferably contains 1.5 parts by weight or less of the sulfur-based vulcanizing agent.