High resolution is one of the goals that optical microscopy techniques always pursue till now. Despite the current innovations of microscopy systems′functionality and performance, the confliction between high resolution and large field-of-view has become increasingly prominent, limiting its applications greatly in many areas. As a new-type computational imaging method, Fourier ptychographic microscopy (FPM) has been introduced in recent years, which provides a wide-field high-resolution imaging capability by recovering the intensity and phase distributions simultaneously. Although FPM has just been proposed in 2013, it has received extensive attention and researches in the field of optical microscopy, biomedicine, and life sciences because of its large field of view, high resolution, quantitative phase imaging and many other advantages. A review is given to introduce the research status, applications and some recent advances in FPM from its basic principles, experimental systems and imaging modalities, advanced recovery method of system and algorithm. The changeling problems as well as future research directions are also discussed.