Compressed Sensing (CS) theory has challenged the limitation of Nyquist-Shannon sampling theorem and has a very important impact on signal processing field in recent years. In this paper, the research progresses of CS imaging radar are reviewed. Firstly, based on the basic principle of CS theory, the idea of its application in radar imaging is discussed. Then, the current research development of CS imaging radar is demonstrated, including Synthetic Aperture Radar (SAR), Inverse Synthetic Aperture Radar (ISAR), Multiple-Input Multiple-Output (MIMO) radar, Ground Penetrating Radar (GPR), Through-the-Wall Radar (TWR), Cognitive Radar (CR) and so on. Finally, some challenges faced by the CS imaging radar in its practical applications are discussed, and several suggestions are given on its future development.