Discrete-scale invariance (DSI) is a phenomenon featuring intriguing log-periodicity that can be rarely observed in quantum systems.Here,we report the log-periodic quantum oscillations in the longitudinal magnetoresistivity (ρxx) and the Hall traces (ρyx) of HfTes crystals,which reveal the DSI in the transport-coefficients matrix.The oscillations in ρxx and ρyx show the consistent logB-periodicity with a phase shift.The finding of the logB oscillations in the Hall resistance supports the physical mechanism as a general quantum effect originating from the resonant scattering.Combined with theoretical simulations,we further clarify the origin of the log-periodic oscillations and the DSI in the topological materials.This work evidences the universality of the DSI in the Dirac materials and provides indispensable information for a full understanding of this novel phenomenon.