A collision warning system for a host vehicle includes a false warning reduction arrangement. A collision sensor senses a presence of a target object within a forward path of a vehicle and a navigation system senses the global position of the vehicle. The collision warning system receives the location information and the target object to provide a collision warning to a vehicle operator. To avoid false alerts, the collision warning system compares target object and location to target objects and locations stored in a false alert database. When the target object is provided in the database, a warning is delayed or suppressed. The collision warning system also senses driver reactions to a warning. When a warning results in no reaction by a vehicle operator, the warning is considered a false alert, and the target object and location are stored in the false alert database.