Surface Plasmon Polaritons(SPPs) has promoted the development of applications such as strong radiation sources, super-resolution imaging, sensitive sensing, and on-chip integration. It will inevitably bring more fascinating functions when it is applied to the terahertz(THz) band which has advantages of strong-penetration, high-bandwidth, and so on. Due to the low frequency of THz radiation, many distinctive phenomena of SPPs have occurred in this range. By controlling the interaction between the subwavelength metal structures or semiconductor materials with the THz radiation, the approach for modulating SPPs in such low-frequency domain has been realized. In this paper, the basic principles and research history of SPPs in the THz range are reviewed, then the hot topics carried out in recent years are introduced, such as electric field modulation, on-chip waveguides, and tunable devices. At last, the bottleneck problems are summaried and the future trends are expected.