In inorganic crystals, phonons are the elementary excitations describing the collective atomic motions. The research of phonons performs an vital position when it comes to understanding thermal transport habits and acoustic properties, in addition to exploring the interactions between phonons and different power carriers in supplies. Thus, environment friendly and correct prediction of phonon transport properties equivalent to thermal conductivity is essential for revealing, designing, and regulating materials properties to fulfill sensible necessities. On this article, typical methods used to foretell phonon transport properties in fashionable science and applied sciences are launched, and related achievements are emphasised. Furthermore, insights into the remaining challenges in addition to future instructions of phonon transport-related exploration are proposed. The viewpoints of this text are anticipated to offer a useful reference to the group and encourage related analysis research on predicting phonon transport properties within the close to future.