A control apparatus of a vehicle, comprising: an inter-vehicle distance detection device (60, 61) configured to detect an inter-vehicle distance between an own vehicle and a communicating preceding vehicle; a wireless communication device (80, 81) configured to acquire communicating preceding vehicle information including at least one of requested acceleration information (Gs, Accp, Brkp) on a requested acceleration of the communicating preceding vehicle and actual acceleration information (Gas,ωa to ωd,ωave) on an actual acceleration of the communicating preceding vehicle from the communicating preceding vehicle through a wireless communication; and an acceleration control device (20, 30, 40) configured to control an acceleration of the own vehicle such that the acceleration of the own vehicle corresponds to a requested acceleration (Gj) of the own vehicle, the acceleration control device (20, 30, 40) including: first calculation means configured to calculate a feedback requested acceleration which is an acceleration requested to the own vehicle for maintaining the inter-vehicle distance at a target inter-vehicle distance (Dtgt); second calculation means configured to calculate a feedforward requested acceleration which is an acceleration requested to the own vehicle for causing the own vehicle to travel following the communicating preceding vehicle on the basis of at least one of the requested acceleration information (Gs, Accp, Brkp) and the actual acceleration information (Gas,ωa to ωd,ωave); and third calculation means configured to calculate a requested acceleration (Gj) of the own vehicle on the basis of the feedback requested acceleration and the feedforward requested acceleration, the acceleration control device (20, 30, 40) being configured to execute a following travel control that is capable of causing the own vehicle to travel following the communicating preceding vehicle by controlling the acceleration of the own vehicle such that the acceleration of the own vehicle corresponds to the requested acceleration (Gj) of the own vehicle calculated by the third calculation means, characterized in that the third calculation means is configured to limit the feedforward requested acceleration to a value equal to or smaller than zero when the communicating preceding vehicle information includes information i) indicating that a vehicle travel stabilization control is executed to control a friction braking force applied to at least one of vehicle wheels of the communicating preceding vehicle from a friction braking device of the communicating preceding vehicle to stabilize a traveling of the communicating preceding vehicle, and ii) indicating that the feedforward requested acceleration is larger than zero. an inter-vehicle distance detection device (60, 61) configured to detect an inter-vehicle distance between an own vehicle and a communicating preceding vehicle; a wireless communication device (80, 81) configured to acquire communicating preceding vehicle information including at least one of requested acceleration information (Gs, Accp, Brkp) on a requested acceleration of the communicating preceding vehicle and actual acceleration information (Gas,ωa to ωd,ωave) on an actual acceleration of the communicating preceding vehicle from the communicating preceding vehicle through a wireless communication; and an acceleration control device (20, 30, 40) configured to control an acceleration of the own vehicle such that the acceleration of the own vehicle corresponds to a requested acceleration (Gj) of the own vehicle, first calculation means configured to calculate a feedback requested acceleration which is an acceleration requested to the own vehicle for maintaining the inter-vehicle distance at a target inter-vehicle distance (Dtgt); second calculation means configured to calculate a feedforward requested acceleration which is an acceleration requested to the own vehicle for causing the own vehicle to travel following the communicating preceding vehicle on the basis of at least one of the requested acceleration information (Gs, Accp, Brkp) and the actual acceleration information (Gas,ωa to ωd,ωave); and third calculation means configured to calculate a requested acceleration (Gj) of the own vehicle on the basis of the feedback requested acceleration and the feedforward requested acceleration, the acceleration control device (20, 30, 40) being configured to execute a following travel control that is capable of causing the own vehicle to travel following the communicating preceding vehicle by controlling the acceleration of the own vehicle such that the acceleration of the own vehicle corresponds to the requested acceleration (Gj) of the own vehicle calculated by the third calculation means, characterized in that the third calculation means is configured to limit the feedforward requested acceleration to a value equal to or smaller than zero when the communicating preceding vehicle information includes information i) indicating that a vehicle travel stabilization control is executed to control a friction braking force applied to at least one of vehicle wheels of the communicating preceding vehicle from a friction braking device of the communicating preceding vehicle to stabilize a traveling of the communicating preceding vehicle, and ii) indicating that the feedforward requested acceleration is larger than zero.