Understanding sound generation from high-speed multiphase jet flow is important for designing rocket engines and launch pad structures. We present a numerical approach for predicting far-field noise from a multiphase supersonic jet flow. We numerically evaluate the Navier-Stokes equations with two-way coupling of Lagrangian particle tracking. The far-field acoustic pressure is evaluated using the Ffowcs-Williams and Hawkings acoustic analogy. We conduct predictions for flows emerging from a converging-diverging rectangular nozzle operating at over-expanded, under-expanded, and on-design conditions. The nozzle exit is connected to a large flat plate. Both single phase and multiphase predictions are conducted, and the multiphase flow consists of a gas phase and particulates. Multiphase calculations are performed using particles with diameters of 10 µm and 100 µm. We validate the predictions of the single phase jet flows with measurement. We compare meanflows, turbulent statistics, acoustic source statistics, and statistics of acoustic pressure between the single and multiphase jets. We find that there are significant differences of predicted statistics between single and multiphase jets.