This thesis develop new hybrid precoding for downlink mmWave multi-user MISO systemswhich include baseband precoder(digital) and RF precoder(analog).We use dirty paper coding and zero forcing dirty paper coding skill to design indirectly by modifying hybrid structure.Assume that channel station information at base station is known perfectly so that the interference can be canceled efficiently before transmission.Therefore, consider the problem of maximizing the capacity and apply broadcast channel - multiple access channel duality to reformulate objective problem and get better sum rates.Besides, we find that with the more RF chains, the performance of hybrid structure will approach to traditional fully digital.Simulation results showed that our proposed hybrid precoding scheme achieve better sum rates than other recently published.