Abstract: The Cloud access network (C-RAN) is considered as an important part of the future 5G wireless network, because it can effectively improve the spectrum efficiency (SE), energy efficiency (EE) and fronthaul efficiency (FE). In most cases, these optimization goals (SE, EE, and FE) conflict with each other, and the performance improvement of one target usually leads to other targets performance degradation. As far as the author is concerned, the multi-objective optimization (MOO) in the cloud access network has not been considered. In this paper, we intend to design joint optimization algorithms to solve the multi-objective optimization problem in orthogonal frequency division multiple access (OFDMA) based cloud access networks. In the special case of single-user and single-RRH, we use a Lagrange dual decomposition method to solve the non-linear fractional programming problem and we design a Modified Particle Swarm Optimization (M-PSO) algorithm to solve the more complex issue for the general case of multiple users and multi RRHs. The simulation results show that the algorithms proposed in this paper can effectively solve the trade-off among different objectives compared with single-objective optimization and provide a new direction for the resource allocation of cloud access network.