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Abstract. Vibration is one of the important indicators of the dynamic performance of motorized spindles. The radial and axial runout caused by the vibration of motorized spindle are important factors which affect the accuracy of CNC machining center and the dimensional accuracy of the workpiece. Because the radial runout of the machining center cannot be monitored in real time, the failure can be detected passively only when the quality of the workpiece is not up to standard, which will cause significant economic losses to the enterprise. In this paper, a time-frequency integration method based on acceleration signal is proposed to realize the real-time detection of the radial runout of the motorized spindle during the machining center operation. The acceleration signal is integrated in time domain with high-pass filter, and then it is integrated in frequency domain with low frequency cut-off. The signal after quadratic integral is the vibration displacement, i.e. radial runout of motorized spindle. The integration error test between radial runout from integration and measured confirms the validity of the proposed method.