A wrap around bus bar that provides battery power (also referred to as B+ power) to components within a power distribution device for a vehicle electrical system, such as a hybrid-type power distribution box (PDB). The power distribution device routes or distributes power throughout a vehicle electrical system and may include a lower cover, a wrap around bus bar, a relay block assembly, a module with a printed circuit board (PCB), an array of relays and fuses, and an upper cover. Battery power is provided from a vehicle battery and/or alternator to a terminal connection, from the terminal connection to the wrap around bus bar, and from the wrap around bus bar to the relay block assembly, the module and potentially other components within the power distribution device.