The terahertz (THz) dynamics of ferroelectric lithium tantalate crystals has been investigated using the latest THz timedomain spectroscopy. The intensity and phase shift of transmitted THz radiation have been accurately measured for the propagation of the THz radiation along the y-axis down to 3 cm À1 (0.1 THz). The phonon-polariton dispersion relations have been determined from the phase shift for A 1 (z) and E(x; y) symmetry polaritons. The dispersion relations of both symmetries show no ''avoided crossing'' below 60 cm À1 (1.8 THz). The complex dielectric constants " z (!) and " x (!) in the sub-THz to THz regions have also been determined as functions of frequency. Both the real and imaginary parts of " x (!) are well reproduced using a single damped harmonic oscillator model. However, those of " z (!) indicate the excess part, which may be attributed to a relaxation process related to the order-disorder nature of ferroelectricity.