The paper presents a concept of the parametric autofocus method for Passive Inverse Synthetic Aperture Radar (ISAR) imaging of air targets. To create a focused ISAR image, the precise knowledge of an object trajectory is required. In this paper a theoretical model of the target motion and an algorithm for finding the best set of estimated motion parameters are described. Simulated results of ISAR image formation with parametric autofocusing are also presented.