Research on and development of the high amplitude, broadband terahertz system based on ultra-short pulse, low-power laser system is a hot spot in the field of terahertz. So far, for all the reported THz bandwidths broader than 10 THz, there always exist strong dispersion and absorption gaps associated with the lattice resonance in either the photoconductive materials or crystalline EO materials. If such THz sources and detectors are employed in spectroscopic studies, spectral information in these gaps cannot be extracted. One of the advantages of using amorphous electro-optic polymer films as THz emitters and sensors is that there is no dispersion or absorption resulting from the lattice resonance effect, making a gap-free THz spectrum possible. Another advantage of electro-optic polymer films is the ease of fabrication and handling, in contrast to the extremely thin crystalline electro-optic materials used for existing broadband THz system. In addition, we can engineer the electro-optic polymeric materials to achieve small phase mismatch and high electro-optic coefficients such that brightness and broad bandwidth of THz radiation can be obtained. In this thesis a theoretical description of electro-optic effect based on electro-optic polymer and the second-order nonlinear chromophores synthesis is reviewed. In the past 20 years, progress in electro-optic polymer in the field of generating and detecting terahertz radiation by all-optical techniques is summarized, including the terahertz systems based on copolymer and the guest-host polymer induced by Titanium doped sapphire femtosecond laser and based on the guest-host polymer at communication wavelengths.