Left-handed materials （LHM）explore a new field for research and application of new materials.Electromagnetic wave propagation in left-handed material have been extensively studied by many researchers and there have been many new results.As the research technology develops and application requirement increases,THz wave transmission property of the LHM attracts more and more attention.This article summarizes the THz transmission characteristics in typical transmission LHM materials.By comparing different designs,we get the influence of different structure parameters,such as periodic,fractal,substrate material.Explanations are given.