Simultaneous switching noise (SSN) is a serious design issue to stabilize power supply integrity and logic operation in advanced CMOS circuits and systems. Furthermore, SSN causes electromagnetic interference (EMI). Ringing frequency observed in the SSN waveforms is strongly related to the anti-resonance peak frequency of the total PDN impedance. Therefore, suppressing the anti-resonance peak is currently one of the most important design concerns in VLSI systems. In this paper, the method which is called 'on-board snubber circuits (RC series circuits)' has been studied to suppress the anti-resonance peak. The on-board snubber circuits was added just at the beneath of the power supply terminals of the LSI to effectively suppress the anti-resonance peak of the total PDN impedance. In particular, the design space for damping the anti-resonance peak critically and the added values of capacitance (C snb) and resistance (Rdmp) of the snubber circuits has been examined.