In this paper, a method combining fuzzy logic and sliding mode controller is proposed for the robust control of power system Single-Machine Infinite-Bus (SMIB). The aim of this study is to overcome some shortcoming of conventional power system stabilizer (CPSS), fuzzy logic power system stabilizer (FPSS) and sliding mode controllers (SMC). When conventional PSS is employed, it will result a poor performance. SMC can be used to achieve robust stability in power system. However, in the presence of large uncertainty, a higher switching gain is required, which produce higher amplitude of chattering. In this study, a direct fuzzy logic controller is designed and the sliding mode controller is added to compensate the fuzzy approximation errors. The simulation results clearly indicate the effectiveness and validity of the proposed method, in terms of convergence, time and precision.