A vehicle collision avoidance assist apparatus executes a collision avoidance steering maneuvering assist process of applying a steering force to an own vehicle to assist a collision avoidance steering maneuvering carried out by a driver when there is a probability that the own vehicle collides with an object ahead of the own vehicle, and the driver carries out the collision avoidance steering maneuvering to steer the own vehicle to avoid a collision of the own vehicle with the object. The apparatus notifies the driver of a necessity of carrying out the collision avoidance steering maneuvering when determining that there is the possibility that the own vehicle collides with the object ahead of the own vehicle.