With the development of terahertz (THz) technology, THz waveguides have always been a research hot spot and various waveguides arise at the historic moment. Compared to metal waveguides, polymer waveguides have obvious advantages in both propagation loss and flexibility. The recent researches on THz polymer waveguides are summarized. Different mechanisms of polymer tube terahertz waveguides, including total reflection guiding and anti-resonant reflecting guiding, are concluded. Finally, possible further applications of such terahertz polymer waveguides are briefly described.