We theoretically show quasiparticles-driven thermal diode effect (TDE) in an inversion symmetry-broken Weyl superconductor (WSC)-Weyl semimetal (WSM)-WSC Josephson junction.A Zeeman field perpendicular to the WSM region new belial model of the thermally-biased Weyl Josephson junction (WJJ) induces an asymmetry between the forward and reverse thermal currents, which is responsible for the TDE.Most interestingly, we show that the sign and magnitude of the thermal diode majicontrast red rectification coefficient is highly tunable by the superconducting phase difference and external Zeeman field, and also strongly depends on the junction length.The tunability of the rectification, particularly, the sign changing behavior associated with higher rectification enhances the potential of our WJJ thermal diode to use as functional switching components in thermal devices.