A bicycle power control apparatus is basically provided with a rectifier, a storage battery, a detection unit and a controller. The rectifier is configured to rectify power generated by an AC generator that is mounted on a bicycle. The storage battery is configured to store DC power outputted by the rectifier. The storage battery is configured to supply the DC power to an electric component that is mounted to the bicycle. The detection unit is configured to detect an electrical signal from the AC generator. The controller is configured to control a ratio of a distributed amount of the DC power to the electric component with respect to a distributed amount of the DC power to the storage battery according to the detection result of the detection unit.