The Bethe-ansatz method is used to solve one-dimensional two-component bosons with a δ-function potential considering the negative coupling constant part.With the string hypothesis of Minoru Takahashi,the features of the ground state and low-lying excited states of this model are discussed explicitly by analytical and numerical methods.Especially for a N=2 system,the two bosons being pairs is obvious,and the ground state which is independent of the coupling constant should be ferromagnetic.