A vehicle control apparatus for controlling a four-wheel-drive automotive vehicle of a type which comprises a first drive power source for driving one of a pair of front wheels and a pair of rear wheels, and a second drive power source for driving the other of said pair of front and rear wheels, said vehicle control apparatus being operable to drive said automotive vehicle in a four-wheel driving mode in which said pairs of front and rear wheels are driven by said first and second drive power sources, when said automotive vehicle is placed in any one of a starting state in which the vehicle is being started, an accelerating state in which the vehicle is being accelerated, and a low-μ running state in which the vehicle is running on a road surface whose friction coefficient is lower than a predetermined threshold, said vehicle control apparatus being operable to drive said automotive vehicle in a two-wheel driving state in which one of said pairs of front and rear wheels are driven, when the vehicle is not placed in any one of said starting state, accelerating state and said low-μ running state.