In this paper,first,we study fuzzy ideals on abundant semigroups by using Green*-relations L*,R* on semigroups defined by Fountain in and the natural partial order theory on abundant semigroups introduced by Lawson in [3],and give some properties of fuzzy ideals on such semigroups.On this base,we give another structure of locally abundant subsemigroups to an abundant semigroup.Furthermore,we give a structure of locally superabundants.