In this Paper, some seismograms of the strong earthquake motion obtained in Japan and in California were examined and we found that the particle velocity of the strong earthquake motion was almost constant for a certain range of vibration periods from 1 second to several seconds. We estimated further the maximum value of the particle velocity of earthquake motion as 30kines or 100kines. It is also noticed that the duration time of the strong motion caused by the great earthquakes in and near Japan is remarkably longer than that in California.