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In this paper, a highly efficient hybrid KA-MoM method is proposed for scattering by objects above a rough surface. Different from the previous KA-MoM, a special treatment is designed to efficiently calculate the interaction between objects and rough surface. In our hybrid KA-MoM, the truncated rough surface interacted with objects is specially chosen at a very small area according to characteristics of scattering by rough surface. Thus the interaction between objects and rough surface can be efficiently calculated. To further improve the efficiency, the multilevel fast multipole algorithm (MLFMA) is performed to accelerate the MoM solution and interaction between objects and rough surface. The accuracy and efficiency of the proposed method are investigated by numerical experiments.