Layered two dimensional transition metal sulfides are a kind of important two dimensional layered semiconductor materials. MoTe2 has attracted much attention because of its small band gap and high carrier mobility. In this paper, the optical pump-wide spectrum terahertz time-domain spectroscopy system is used to study the wide spectrum terahertz transmission spectrum of MoTe2 thin films with few layers, the dynamic process of photogenerated carriers at picosecond scale and the change of photoconductivity. The transmittance spectra of MoTe2 thin films with thin layers in the range of 0.2~7.2 THz are measured by using the method of gallium phosphide crystal detection. The absorption peaks at 3.6, 4.6, 6.4 and 7 THz are found. The lifetime of photogenerated carriers in MoTe2 thin films is about 1.6 ps. The terahertz spectra of MoTe2 thin films are measured on picosecond time scale by using 800 nm pulsed light excitation. On this basis, the real and imaginary parts of the variation of photoconductivity under different pump-probe time differences are further studied. It is found that the real part of the conductivity change decreases from about 600 Ω-1cm-1 to 300 Ω-1cm-1 with the increase of the delay time, and the imaginary part of the conductivity change about 200 Ω-1cm-1 does not change significantly with the pump-probe time difference. This result indicates that the thin MoTe2 films with few layers have higher conductivity and longer exciton lifetime.