The SU(2)-invariant Thirring model with non-diagonal open boundaries in one spatial and one time dimensions is studied in the framework of quantum inverse scattering method. With the help of guage transformation independent of spectral parameter in the auxiliary space, suitable Fock vacuum state is constructed. The eigenvalues and its Bethe Ansatz equations of the transfer matrix are obtained by mean of Bethe Ansatz, and finally the boundary freedom degrees of the system are discussed.