Non-Orthogonal Multiple Access (NOMA) has been proposed as a new radio access technique in which multiple users (the case of user pairs or triples are covered in this thesis) are allowed to use the wireless channel simultaneously in a way to improve the overall system capacity. A bucket-based Temporal Fair Scheduling algorithm (TFS) has been proposed in the literature for Orthogonal Multiple Access (OMA) systems. In this thesis, we extend this existing work to downlink power domain NOMA by which user pairs or triples are to be scheduled with the goal of maximizing system capacity under temporal fairness constraints. The effectiveness of the proposed fair user scheduling algorithm for NOMA is validated with simulations in which the effects of transmit power and coverage radius of the base station, as well as the number of users are thoroughly studied.