A tandem mass spectrometer comprising an ion source for ionizing a sample, an ion trap section for carrying out collision induced dissociation of the target ions thereby to produce fragment ions, a multi electrode collision section for conducting collision induced dissociation of fragment ions discharged from the ion trap section, a mass spectrometer section for conducting mass spectrometric analysis of the converged fragment ions. After the target ions selected by the ion trap section are subjected to collision induced dissociation, specific fragment ions among the fragment ions are selected and transferred to the multi electrode collision section thereby to carry out collision induced dissociation therein.