Electromagnetic metamaterials are composed of sub-wavelength artificial unit cells with periodic and aperiodic arrangements, which can achieve peculiar properties that natural materials do not have. As the two-dimensional metamaterials, metasurfaces have the advantages of low profile, easy integration and low cost. With the introduction of active elements, sensing elements and intelligent algorithms, metasurfaces further realize real-time programmable and intelligent control of electromagnetic waves. At present, most electromagnetic metasurfaces researches are devoted to the manipulation of reflecting waves and transmitting waves. In fact, electromagnetic metasurfaces also have the strong regulation ability for radiating waves. This paper will introduce the research progress of metasurfaces in regulating the amplitude, phase, polarization of radiating waves systematically. Based on the integration of metasurfaces and feeds and the regulation principle of metasurfaces on radiating electromagnetic waves, this paper focuses on folded array metasurfaces, Fabry-Perot metasurfaces, leaky wave metasurfaces and radiation-type metasurfaces, corresponding to space wave feeding, surface wave feeding, gap coupling feeding, coaxial feeding. The regulation mechanism and applications of these four types of metasurfaces on radiating waves are introduced from the perspectives of passive and active. Finally, the future research directions of electromagnetic metasurfaces in regulating radiating waves are prospected.