Abstract: This paper introduces the research work which combines the fuzzy logic and the sliding mode control since 1990's,emphasizes on describing the similarity between fuzzy logic control and slidng mode control,the principles and methods of the heuristic fuzzy sliding mode control,the direct and indirect adaptive fuzzy sliding mode control,the application of fuzzy neural networks in slidng mode control in addition to the relationship among them.Further more, research tendencies in this field are discussed.