A preceding vehicle selection apparatus estimates a curvature of a road on which an own vehicle is traveling, detects an object ahead of the own vehicle, and determines a relative position in relation to the own vehicle. Based on the curvature and the relative position, an own vehicle lane probability instantaneous value is determined. This instantaneous value is a probability of the object ahead being present in the same vehicle lane as the own vehicle. By a filter calculation on the instantaneous value, an own vehicle lane probability is determined. Based on the own vehicle lane probability, a preceding vehicle is selected. An inter-vehicle time required for the own vehicle to reach a detection position of the object ahead is calculated. Based on the inter-vehicle time, characteristics of the filter calculation are changed such that an effect of the own vehicle lane instantaneous value increases as the inter-vehicle time decreases.