A correction method for the mass discrimination effect was developed for isotopic analyses using multiple collector inductively coupled plasma mass spectrometry (MC-ICP-MS), For Pb isotopic analysis using MC-ICP-MS,, the correction factor for the mass discrimination effect on Pb is based on the addition of Tl to the sample solution and measurement of Tl isotopic ratios; the correction factor obtained using Tl is directly applied to the Ph isotopes (conventional external correction), However, the series of measurements of discrimination factors for several elements, including Rb, Sr, Ru, Nd, Hf, Re, Os, Tl and Pb (mass range 80-210 u), clearly reveal that the mass discrimination factors observed using MC-ICP-MS were a linear function of mass, suggesting that the correction factors observed using TL isotopes were not exactly identical with those for Ph isotopes, Therefore, the correction factors obtained with TL isotopes should be corrected for mass, and then applied to the Pb isotopes. The resultant Ph isotopic ratios for NIST Standard Reference Materials show excellent agreement (within 0.03% for Pb-206/Pb-204 and 20 ppm for Pb-207/Pb-206) With the data obtained by the thermal ionization mass spectrometry. The correction method presented clearly demonstrates the wide versatility of the external correction technique for the precise isotopic analysis using MC-ICP-MS, The possible cause of the 'exceptionally large' mass discrimination effect observed for Ru and Os is discussed.