Carbon nanotubes film has attracted significant attention and has the potential application in photo-electrical devices because of its outstanding electrical, optical and mechanical properties in the wide frequency range from microwave to visible light. The active and passive terahertz devices are progressing at a rapid rate. The highly quality carbon nanotubes film offers an alternative to generation, detection, and polarization of terahertz wave. The vertically aligned multi-walled carbon nanotubes film was grown by low pressure chemical vapor deposition. The drawing method was employed to fabricate the super-aligned carbon nanotubes film. The transmission and polarization properties of the carbon nanotubes film (three kinds of film: one is carbon nanotubes film with gratings on Si substrate; another is carbon nanotubes film without gratings on Si substrate, and last is a freestanding carbon nanotubes film) had been investigated by terahertz time-domain spectroscopy. The results show that the anisotropic properties of the complex refraction index and permittivity of carbon nanotubes film were observed. The transmittance in the case of the terahertz polarization perpendicular to the axis of carbon nanotubes is more than that of the terahertz polarization parallel to the axis of carbon nanotubes. The degree of polarization and extinction ratio of film increases with increasing film thickness. The degree of polarization is up to 99% and keeps constant for 9 ?滋m-thick multi-walled carbon nanotubes film. This research provides basic knowledge useful for emerging applications of multi-walled carbon nanotubes in optoelectronics and plasmonics in the technologically important terahertz frequency range.