In this manuscript, we study the inverse problem for non self-adjoint Sturm-Liouville operator D2+ q with eigenparameter dependent boundary and discontinuity conditions inside a nite closed interval. By de ning a new Hilbert space and using its spectral data of a kind, it is shown that the potential function can be uniquely determined by part of a set of values of eigenfunctions at some interior point and parts of two sets of eigenvalues.
