A radar apparatus is mountable to a vehicle. The radar apparatus includes an observing unit, an estimating unit, a predicting unit, a matching processing unit, and a determining unit. The estimating unit calculates, regarding an initial detection target object, a plurality of velocity estimation values in which folding is presumed, using a velocity observation value calculated by the observing unit. The predicting unit calculates a prediction value from each of the plurality of velocity estimation values. The matching processing unit performs association of the velocity prediction value and the velocity observation value.