Abstract: In order to ensure the rotational invariance of the one-center-two-electron integrals in the INDO method including for bitals into the basis set in our previous paper^[1], two methods are proposed in the present investigation to meet this requirement.The first one is to use the weighted average values J_μμ', K_μμ', and J_μμ'=J'_μμ+2K_μμ' for replacing the integrals (μμ|νν), (μν|μν) and (μμ|μμ), respectively.The second is a more stringent alternative,in which we have derived 690 nonzero hybrid one-center-two-electron integrals in addition to Coulomb and exchange types as expressions of Slater-Condon parameters.