To analyze the time-history reliability of aseismatic structures, an algorithmbased on the genetic
simulated annealing and time-history methods was proposed on the basis of the characteristic of structural
performance functions for the time-history reliability of aseismatic structures,i. e.they are implicit
functionswith strong non-linearity. This algorithm can reflect the randomness of structural parameters and
earthquake motions and the effects of an earthquake action and static loads. Furthermore, time-history
reliability index of aseismatic structures at any time in the process of an earthquake can be got by using the
algorithm. As an example, the time-history reliability of story-drift capacity for a three-story reinforced
concrete (RC) frame respectively under frequent and strong earthquakes was analyzed using the algorithm
and the Monte Carlo method, and the result shows the effectiveness of the algorithm.