The thermal conductivity of liquid octahydro-1,3,5,7-tetranitro-1,3,5,7-tetrazocine (HMX) has been determined from imposed heat flux non-equilibrium molecular dynamics (NEMD) simulations using a previously published quantum chemistry-based atomistic potential. The thermal conductivity was determined in the temperature domain 550 less than or equal to T less than or equal to 800 K, which corresponds approximately to the existence limits of the liquid phase of HMX at atmospheric pressure. The NEMD predictions, which comprise the first reported values for thermal conductivity of HMX liquid, were found to be consistent with measured values for crystalline HMX. The thermal conductivity of liquid HMX was found to exhibit a much weaker temperature dependence than the shear viscosity and self-diffusion coefficients.