With the development of terahertz technology, the research on terahertz transmission waveguide devices has also become one of the important issues to be solved. Terahertz wave is located between microwave and infrared light, and the search for efficient transmission and coupler devices has always been the goal of researchers This article mainly introduces the current research status of terahertz transmission waveguides and summarizes the advantages and disadvantages of various types of terahertz waveguides The research progress of metal waveguides and dielectric waveguides is analyzed according to material and structure Metal waveguides indude bare metal wire waveguides, microstructure waveguides, hollow core waveguides, and flat waveguides, while dielectric waveguides include dielectric hollow-core waveguides, porous core waveguides, and microstructure waveguides. Finally, prospects are presented for the future research directions that need to be addressed in terahertz transmission waveguides.