In this paper, probabilistic backlog and delay bound of multi-carrier systems are studied using stochastic network calculus. Firstly, a typical multi-carrier model is established. We assume that the transmitted signals will suffer equal flat Rayleigh fading on each subcarrier. Thereafter, the distribution of system capacity can be derived based on the central limit theorem. According to stochastic network calculus, probabilistic backlog and delay bound are demonstrated under periodic traffic source. Finally, numerical results and simulation results are presented and discussed.