The saddle-point variational method is used with restricted variation method to obtain the energies of the core-excited states 1s2smd4De(m=3—7) and 1s2pnd4Do(n=3—5) for lithium, including the mass polarization and relativistic corrections. Oscillator strengths, transition rates, lifetimes and wavelengths are also calculated. The results are compared with other theoretical and experiment data in the literature.