The stability constants of the monofluoride complex of Nd(III), Eu(III), and Tm(III) have been determined in mixed solvents of dimethyl sulfoxide (DMSO) and H2O at 0.1 mol dm(-3) ionic strength using a solvent extraction technique. The values for Nd(III) and Eu(III) increase as the mole fraction of DMSO in the mixed solvent system increases. However, the stability constant for Tm(III) reaches a maximum in the vicinity of the mole fraction of DMSO of 0.02 and then decreases. The variation of the stability constants was equally dependent on following the two factors: (1) the Gibbs' free energy of transfer of F- between H2O and the mixed solvents; (2) the difference between the solvation energies of the tripositive cation and of the monofluoride complex in H2O and the mixed solvent solutions ([Delta G(Ln,solv)(H2O) - Delta G(LnF,solv)(H2O)] - [Delta G(Ln,solv)(mix) - Delta G(LnF,solv)(mix)]). The difference between solvation energies mentioned in (2) was proportional to the mole fraction of DMSO in the bulk solution and the proportionality constant was dependent on a reciprocal of the effective ionic radius of the Ln(III).