A novel low-loss dual-core fiber directional coupler for terahertz raditional is proposed, Coupling properties, loss and group velocity dispersion of the fibers are investigated by the full-vector finite-element method (FEM). The simulation results demonstrate that the coupling length of this coupler is less than 1.8 cm between 1.55 and 1.80 THz, and the coupling broadband of 0.07THz can be realized. And the loss coefficient of the coupler is less than 0.02 cm-1. The directional coupler has potential applications in narrowband filtering, wavelength-division multiplexing, switching, polarization splitter and so on.