The determination of splitter of a matriod family by the single-element extension of a matriod is sdudied. First we get and then for every circuit C of M which include e. the properties of matriod and matriod are discussed. Some necessary and sufficient conditions of matriod M with property is proposed. With the result above, by two ways, we proved that if let not include minor which is isomorphic to ,then is a splitter of .