In this thesis, we propose a novel approach to dynamically allocate transmission power at the base station, and split traffic at the stronger relay, and select phase at the weaker relay in NOMA wireless relay networks. In order to maximize the network throughput, both the base station and the stronger relay optimally allocate their transmission power to transmit signals for different destinations. Unlike in a conventional one-hop NOMA network, it is not always optimal for the base station and the stronger relay to allocate all their power to transmit signals for one destination. Based on the derived analytical results, one could determine how to optimally allocate transmission power at the base station and the stronger relay, and the select phase at the weaker relay quickly. Simulation results show that the proposed approach could significantly increase the network throughput.