Quasicrystals have unique structures with long-range order without periodicity. Photonic quasicrystals have been widely studied because of their excellent ability to control electromagnetic waves and broad application prospects. Photonic quasicrystals not only have general characteristics such as complete bandgap, localization states, negative refraction and near-zero refractive index, but also have advantages in laser and nonlinear frequency conversion due to their unique rotational symmetry. In this paper, the development of photonic quasicrystals in recent years is briefly reviewed, and the main research directions of photonic quasicrystals are introduced from two aspects, theoretical researches, and application ones. At last, the future development trend of photonic quasicrystals is prospected.