The permeability tensor of fiber reinforcement, as the decisive input parameter of resin flow simulation of liquid composite molding process, is closely related to the resin flow and final product quality, and is the key to realize the high-quality and large-scale manufacturing of composite materials. In this paper, the permeability measurement techniques are classified according to the flow states (saturated or unsaturated), flow dimensions and measurement directions (in-plane or out-of-plane). The permeability measurement techniques and research progress under different conditions are listed, and the real-time monitoring techniques of flow front in unsaturated flow are summarized. The problems such as different experimental factors and large dispersion of permeability results are analyzed, and the future development trends are discussed.