Since the tellurium-doped gallium selenide crystals has good potential in phase-matching applications, the homemade terahertz time-domain spectroscopy technique is employed to investigate the physical properties like complex refractive indices and absorption coefficients within the electromagnetic wave range of 0.2 THz to 2.5 THz. The deformation of the rigid layer mode at 0.58 THz, and the formation of the tellurium-induced layer vibrational mode at 1.76 THz were clearly observed in absorption spectra. Moreover, the role of tellurium-doping in GaSe crystals could be revealed from the temperature-dependent blue shift of the rigid layer mode and tellurium-induced layer vibrational mode.