Abstract-In order to ensure driving safely, the driving safety assistance system must be able to aware of potential collision accidents in advance, especially significant for the intersection where traffic accidents occur more frequently. Considering that VANETs is one of the most important applications for improving the safety of driving, furthermore, vehicles have an inherent uncertainty of location because the exact position of a moving object is known, with certainty, only at the time of an update on position information. In order to reduce the accident rate at intersection and combine the driving characteristics of vehicles at traffic intersections, a vehicle intersection collision monitoring algorithm based on VANETs and uncertain trajectory is proposed. The algorithm is divided into two categories: uncertain trajectory prediction algorithm and vehicle collision monitoring algorithm. The proposed approach provides approximate answers to the user at the users required level of accuracy while achieving near-optimal communication and computational costs. Finally, extensive experiments were conducted to show the efficiency and efficacy of the proposed approach.