An electrical source control apparatus controls a vehicle traveling by using a source system including a first source performing input/output of first power and a second source performing input/output of second power, capacity of the second source is smaller than that of the first source and output of the second source is larger than that of the first source. The apparatus has a controller programmed to select a first driving mode which prioritizes a fuel efficiency over a driving performance and a second driving mode which prioritizes the driving performance over the fuel efficiency based on a characteristic required for the vehicle from driving modes having different ratios of the first power with respect to a required power required for the source system, and control the first and second sources such that the input/output of the first power is performed in accordance with the ratio of the selected driving mode.