We demonstrate a simple polymer Topas-based low-loss hollow-core photonic crystal fibre for efficient guiding of terahertz radiation. The guiding properties are numerically investigated using finite-element method. It is shown that the proposed fibre exhibits extremely low average effective material loss of 0.017 cm−1, very small near-zero average group velocity dispersion of 0.263 ps/THz/cm with low total loss over 2–2.20 THz bands. Moreover, high air-core power fraction ∼94% having single-mode guiding is also reported for the optimum design parameters.