Terahertz (THz) waves have potential applications in wireless communication, biomedicine, nondestructive testing, military radar and other fields. It is of great practical significance to study THz slow light response to THz communication and detection technology. At present, the reported researches on the slow light effect of THz still face a series of problems. Because EIT metamaterial has a flexible structure and designable electromagnetic properties, it offers a new research platform for THz slow light effect. In this paper, the basic principle and research progress of THz slow light effect based on EIT metamaterials are introduced, and the development trend of THz slow light effect is analyzed and prospected.