Under the control of a DDA (data dependent acquisition) execution controller (281), LC/MSn analysis data are acquired with a measurement unit (1) and stored in a measurement data storage section (23). In the case where the MSn analysis is automatically performed, a precursor ion intensity, TIC value and BPC value are also stored and related to the measurement data. In an analysis of the data, a spectrum display condition setter (25) displays, on a display unit (4), a setting window for allowing an analysis operator to enter a precursor ion intensity threshold as well as a product ion intensity threshold which is either the TIC or BPC value, and stores the entered values as a judgment condition in a spectrum display condition storage section (26). When an appropriate retention time is specified on a chromatogram displayed on the screen of the display unit (4), and if MSn spectrum data has already been acquired at that retention time, a spectrum judgment section (27) determines whether or not the precursor ion intensity and other relevant data related to the MSn spectrum data satisfy the judgment condition and selectively displays, on the screen of the display unit (4), only MSn spectra that satisfy the judgment condition. By this operation, useless MSn spectra with low ion intensities are excluded from the display.