During the ruptures of an earthquake, the strain energy, DE, will be transferred into, at least, three parts, i.e., the seismic radiation energy (E s ), fracture energy (E g ), and frictional energy (E f ), that is,Friction, which is represented by a velocity-and state-dependent friction law by some researchers, controls the three parts. One of the main parameters of the law is the characteristic slip displacement, D c . It is significant and necessary to evaluate the reliable value of D c from observed and inverted seismic data. Since D c controls the radiation efficiency, g R ¼ E s =ðE s þ E g Þ, the value of g R is a good constraint of estimating D c . Integrating observed data and inverted results of source parameters from recorded seismograms, the values of E s and E g of an earthquake can be measured, thus leading to the value of g R . The constraint used to estimate the reliable value of D c will be described in this work. An example of estimates of D c based on the observed and inverted values of source parameters of the September 20, 1999 M S 7.6 Chi-Chi (Ji-Ji), Taiwan region, earthquake will be presented.