A system and method of uplink power control in a fixed wireless backhaul network, wherein determining an uplink transmit power of each remote backhaul module (RBM) comprises obtaining an interference-over-thermal (IoT) noise value of each hub, determining a target IoT noise value for each RBM, determining a total path loss from each RBM to its serving hub, determining a target uplink carrier to interference and noise ratio (CINR) for the RBM, and computing the RBM uplink transmit power for each RBM by summing the target IoT noise value for the RBM, the total path loss of the RBM to its serving hub, and the target uplink CINR. Computationally expensive parameter sweeps are avoided. The method can be implemented using a centralized processing unit or distributed processing at each node. The method is self-optimizing, and initial hub and RBM transmit powers and other data may be estimated using pre-deployment tools.