Provided are an external power supply apparatus and a vehicle power supply method, whereby a power reception circuit of an electric vehicle can be projected or a configuration of the electric vehicle can be simplified. An external power supply apparatus is provided with: a power supply unit, which is provided along a traveling path, and which supplies power to a power reception unit of an electric vehicle while the vehicle is traveling; and a voltage applying unit that applies a voltage to the power supply unit. The power supply unit includes a plurality of divided power supply units that are divided along the traveling path. The voltage applying unit applies the voltage such that the voltage to be applied to the divided power supply units becomes higher in the traveling direction of the electric vehicle.