In wireless networks, we study the downlink scenario of a non-orthogonal multiple access (NOMA) network based on scalable video coding techniques. The resource allocation problem based on wireless NOMA network is modeled as a mixed-integer nonlinear programming problem, which is subject to video coding characteristics, sub-channel capacity, system available power, and real-time requirements of wireless network. In order to solve the resource allocation problem of wireless NOMA network, three sub-problems are proposed, e.g., user grouping sub-problem, power allocation sub-problem, and video layer allocation sub-problem. Firstly, we propose an auction-based solution for the user grouping sub-problem. Then, for the power allocation sub-problem, we choose successive convex approximation and Lagrangian dual decomposition method. Finally, for the video layer allocation sub-problem, we propose a greedy strategy. Simulation experiments show that our proposed algorithms ensure the real-time and reliability requirements of the wireless network and also improve the quality of the video experience.