A lubricating composition includes one or more base oils, at least one dimercaptothiadiazole derivative, at least one ethylene and alpha-olefin copolymer and at least one amine thiophosphate. The composition can be used for lubricating transmissions such as gearboxes and axles, preferably the manual gearboxes of motor vehicles and enable a reduction in the fuel consumption of vehicles, in particular of motor vehicles, due to the combination of the ethylene and alpha-olefin copolymer, dimercaptothiadiazole derivative and amine thiophosphate which decreases the coefficient of friction of the lubricating composition.