To provide a lubricant composition for power transmission fluid which composition is useful for an automatic transmission and an automated manual transmission for continuous variable shifting and/or with or without a start-up apparatus such as a torque converter and the like.

An additive composition can contain at least one phosphorous and boron-containing disperser, at least one boron-containing disperser and at least one cleaner. This composition is useful for power transmission and gives an improved shudder-preventing performance and/or an improved friction durability.