Abstract: In order to address the challenges of extensive memory consumption and prolonged computation time associated with the traditional finite-difference time-domain method for calculating the radiation field of a three-dimensional curved towed thin-wire antenna, this paper employs the time-domain current-charge continuity equation and dipole approximation to efficiently compute the very low frequency radiation field of such antennas. Through simulation, the current distribution and frequency-domain input impedance characteristics of the three-dimensional curved thin-wire antenna are obtained. By analyzing the current distribution along the antenna, the curved thin-wire antenna is divided into several physical segments. Considering the wavelength characteristics of the VLF band, each segment is approximated as an electric dipole radiation source. Using the principle of vector superposition, the radiation fields from these dipole sources distributed along the curved thin-wire antenna are calculated in free space, over single-layer and double-layer ground surfaces, and within confined spaces. Finally, this method is applied to compute the VLF current distribution and the radiation field in air for a 6 km long curved towed thin-wire antenna operating at 25 kHz.