Metasurfaces, as two-dimensional artificial nanostructures, have draw a lot of attention in recent years due to the remarkable ability for flexible optical field modulation. Full-control, and all-dimensional optical field manipulation can be realized by designing metasurface. In this review, we utilize Fourier analysis to theoretically study the designed strategy of metasurface consisting of weakly coupling unit cells. The stable conditions based on Fourier analysis is proposed to mimic continuous phase profile using discontinuous phase profile, which compensates the inadequacy of subwavelength conditions. Furthermore, by combining the phase manipulation by metasurfaces with optical characteristics of polarization, amplitude, and frequency, the evolution and applications of metasurfaces in multi-dimensional manipulation of optical field are briefly reviewed, respectively. As a result, the multi-dimensional manipulation of optical field by metasurfaces not only increases the freedom degree of light-field control, but also promotes the development of integrated optical equipment.