Abstract: In this survey, the general operation principles of asymmetric multimode resonant antennas are insightfully anatomized based upon the eigenmode theory. In terms of the symmetry of antenna structure, feeding and perturbation, a general classification method for asymmetric multimode resonant antennas is proposed, with history and milestones demonstrated. Furthermore, the design approaches to asymmetric multimode resonant antennas are comprehensively introduced, in terms of broadband or multi-band, circular polarization, and radiation dispersion controlling techniques. Finally, potential developments and applications of asymmetric multimode resonant antennas are prospected. The survey is expected to be the design guidelines for engineering developments, as well as scientific researches of asymmetric multimode resonant antennas.