We have discussed the structure of fuzzy matroids.The concept of fuzzy dependence of fuzzy matroids is provided through the generization of element and set in matroid theory,the properties and the conditions of fuzzy dependence are given.Then some properties of fuzzy dependences are studied.A fuzzy_closure axiom of fuzzy matroids is given,which will be significant to further study of matroid's inbeing and to perfection of matroid theory.