Strong　earthquake　disasters　can　cause　noticeable　damage　correlations　among　regional　buildings　with　similar　mechanical　properties,　termed　structure-to-structure　seismic　damage　correlation,　which　has　a　pronounced　impact　on　the　regional　seismic　risk　assessment　and　therefore　needs　to　be　properly　quantified.　This　study　first　introduces　a　time-domain　analytical　and　equivalent　frequency-domain　analysis　based　on　random　vibration　theory　for　calculating　structure-to-structure　seismic　damage　correlation　coefficients.　Subsequently,　by　employing　the　spatially　consistent　white　noise　excitation　and　the　spatially　varying　white　noise　excitation　with　the　Luco-Wong　coherence　function,　the　structural　filtering　effect　and　the　ground　motion　spatial　correlation　effect　are　progressively　incorporated,　and　an　analytical　interstructural　damage　correlation　model　incorporating　structural　dynamic　properties　and　spatial　distance　is　derived.　Comparations　with　Monte　Carlo　simulations　and　existing　empirical　models　demonstrate　that　the　proposed　analytical　model　possesses　a　clear　physical　basis　and　high　reliability.　Finally,　a　case　study　was　conducted　on　a　district　having　29,461　buildings　in　Shanghai,　China　to　illustrate　the　influence　of　interstructural　damage　correlation　on　the　regional　seismic　risk.　Results　show　that　disregarding　the　interstructural　seismic　damage　correlation　can　lead　to　underestimation　of　overall　loss　uncertainty.