A time-to-failure method developed from the accelerating seismic energy release model is used to scrutinize the seismicity of central Taiwan for 40 earthquakes with magnitude greater than 4.5. First, mainshocks and their pre-events are identified, and then adopted as observed data set. The nonlinear time-to-failure equation is separated into two linear equations, and then parameters are estimated by using linear least-square twice. The model constructed from the estimated local parameters, is then used to predict time-of-failure and magnitude of mainshocks. Comparing predicted results and 40 mainshocks, the maximum misfits are only 0.98 years in time and 1.2 unit in magnitude, which indicate that accelerating seismic energy release model could be applied in central Taiwan as a useful tool for the study of seismicity.