The paper studied the radio resource fairness scheduling for Orthogonal Frequency Division Multiplexing Multiple Access (OFDMA) systems which was supporting several different services. After deeply analyzing a classical resource scheduling algorithm,  which maximize the worst user's capacity,  an improved algorithm which can evidently enhance the fairness performance was proposed.  Simulation results show that the improved algorithm can keep a better fairness performance under different application environment,  and can more strictly guarantee the required data rate for different service.