As a radiation source with the wide spectrum, laser-induced plasma can produce X-ray, ultraviolet, visible, infrared, terahertz, and microwave radiation. It has high practical value and can be used in astrophysics, inertial confinement fusion, biomedicine, materials science, spectral analyses, environmental engineering, information technology, ultrafast technology, lithography technology, imaging technology, radar technology, and semiconductor technology, etc. Up to now, most of the literatures about the radiation characteristics of laser-induced plasma concentrate on the interaction between lasers and matter in a certain wave band, while the mechanism of radiation production is not fully understood, and there is still a lack of comprehensive introductions of the researches on a wide spectrum. The radiation characteristics of laser-induced plasma are systematically classified from the point of view of both electromagnetic radiation spectra and radiation mechanisms in this review. The research results of relevant teams at home and abroad are summarized and analyzed, especially the physical relationship between plasma and spectral radiation is explored from different perspectives. The radiation characteristics of laser-induced plasma in various bands are introduced, and the related factors affecting the radiation are discussed. Finally, the research prospect of infrared band and terahertz band are prospected.