The electron impact excitation (EIE) cross sections of S4+ ion from the ground state 3s2 1S0 to all of excited states 3s3p 3P0,1,2 1P1 , and S5+ ion from the ground state 3s 2S1/2 to all of excited states 3p 2P1/2 2P2/3 are calculated for energies of the near-threshold by using the fully relativistic distorted-wave program REIE06. The electron correlation effects for EIE cross sections are studied, and some important conclusions are summarized. An agreement is found when the present calculated results are consistent with the experimental values given by Wallbank et al. [14].