In Ar isotopic measurement by mass spectrometry, the Faraday cup detector for the 40Ar signal, and the Daly knob or ion counting system with an electron multiplier for 36Ar and 38Ar signals are used. This is because the signal intensities of the 36Ar and 38Ar are much lower than that of 40Ar, and the Daly knob and electron multiplier are more sensitive than the Faraday cup. In our laboratory, we predominantly use the Faraday cup detector for the 40Ar signal and the ion counting system with an electron multiplier for the 36Ar and 38Ar signals, for Ar isotopic measurement. However, we found that the discrimination factors for the 40Ar/36Ar ratios become constant over the wide range of 36Ar gas amounts and that the 40Ar/36Ar ratio can be determined with better precision when the Faraday cup was used to detect both the 40Ar and 36Ar signals.