According　to　the　state　of　aseismatic　structure,　by　introduction　of　finite　period　Markov　decision　theory,　the　problem　of　maintenance　strategy　optimization　of　aseismatic　structure　during　design　reference　is　discussed　in　detail.　A　mathematical　model　of　stochastic　dynamical　programming　with　maximum　expected　reward　during　the　design　reference　period　is　presented.　By　solution　of　Markov　decision　inverted　sequence,　the　optimum　maintenance　strategy　of　each　stage　and　total　maximum　expected　reward　can　be　obtained　during　the　design　reference　period.　An　optimization　maintenance　strategy　of　expected　reward　maximization　is　given　during　the　design　reference　period.　All　of　these　provide　a　scientific　method　for　maintenance　decision-making.　Iterative　computation　of　this　stochastic　dynamic　method　can　be　programmed,　greatly　decreasing　the　amount　of　work.