A firearm may have a plurality of power-consuming accessories that can be attached to the weapon. In order to reduce the weight of these power-consuming accessories, as well as the proliferation of their batteries, the Weapon Accessory Power Distribution System provides a common power source to power the power-consuming accessories attached to the weapon. One or more powered rails are provided to provide a point of electrical interconnection for the power-consuming accessories, absent the use of connectors with their tethering cables, which are susceptible to entanglement. The powered rail(s) are electrically interconnected with a power source, which typically is a battery mounted in the butt stock of the weapon.