With the development of ultra-fast and ultra-strong laser technology， the interaction between light and matters in the strong-field regime has been extensively studied. At the same time， the rapid development of spatial light modulation technology in classic optics provides a new degree of freedom for optical manipulation. In recent years， the combination between these two different fields， namely， driving the intense-laser-matter interaction by the spatially structured light fields， has become one of the research hotspots in strong-field science. Strong-field ionization and high-order harmonic generation are two fundamental and important physical processes in traditional strong-field community. Here， the effect of optical vortex beams in strong-field ionization and its related research progress are first introduced. Then， the latest works of gas high-order harmonic generation driven by vortex beams or cylindrical vector beams in the past decade are introduced. At last， we look ahead to the prospects of intense spatially structured laser fields in strong-field physics.