The invention relates to a driving assistance apparatus for a vehicle that can implement following control in accordance with preferences of a driver. An acceleration characteristic setting unit (11) sets a following acceleration characteristic (AF) on the basis of a drive mode selected by a driver and a delivery destination of a host vehicle. A following acceleration set on the basis of the following acceleration characteristic (AF) is set in accordance with an engine output characteristic of the drive mode so as to be highest in a sport travel acceleration characteristic, and to decrease sequentially in a normal HI travel acceleration characteristic, a normal LO travel acceleration characteristic, and an eco-travel acceleration characteristic. A following target acceleration calculation unit (13) calculates a following target acceleration (Afollow*) on the basis of the following acceleration characteristic (AF).