There is provided a radar apparatus. A predicting unit predicts a current peak signal based on a pervious determined peak signal. An extracting unit extracts a current peak signal corresponding to the predicted peak signal, from among peak signals existing within a predetermined range of the frequency. A filtering unit performs a filtering process on the predicted peak signal and the current peak signal, and output a result of the filtering process as a current determined peak signal. If the target derived based on the current peak signal is a preceding vehicle existing in front of an own vehicle equipped with the radar apparatus, the filtering unit changes whether to perform the filtering process according to a state of the preceding vehicle.