Terahertz, one of the cutting-edge research hotspots in electromagnetic waves, shows enormous application prospects in communication, radar, and biochemical detection and so on. The emergence and development of artificial electromagnetic materials, especially metasurface, provide a new avenue for efficient wavefront control at terahertz frequency. We elaborate on the relevant works of terahertz metasurface for wavefront control from the perspective of the spatial distribution of the terahertz electromagnetic field. We discuss various design details and application scenarios of terahertz far-field and near-field wavefront control and provide the development prospects of terahertz metasurface wavefront control in the future, which provide new ideas for the study of terahertz wavefront control.