Control apparatus for vehicle

A control apparatus for a vehicle that is provided with (i) a power source, (ii) drive wheels and (iii) a fluid transmission device which is disposed in a power transmission path between the power source and the drive wheels and which includes a lockup clutch,

• the control apparatus comprising:
• a follow-up-running control portion configured to control a follow-up running in which the vehicle automatically runs following a preceding vehicle with a predetermined inter-vehicle distance to the preceding vehicle from the vehicle;
• and
• a lockup-clutch control portion configured to control the lockup clutch such that an operation state of the lockup clutch is placed in one of a released state, a slipping state or an engaged state,
• wherein the lockup-clutch control portion is configured, during the follow-up running, to execute a fluid-temperature increase suppressing control for controlling the operation state of the lockup clutch in a manner that suppresses increase of a temperature of a working fluid which circulates in the fluid transmission device and which is used to switch the operation state of the lockup clutch.