A　high-accuracy　absorbing　boundary　condition　in　the　time　domain　is　proposed,　which　can　be　coupled　with　the　finite　element　method　seamlessly　to　simulate　the　propagation　of　the　transient　scalar　wave　in　the　D＇Alembert　viscoelastic　multilayered　media.　First,　a　semi-discrete　displacement　equation　of　the　semi-infinite　domain　and　the　force-displacement　relationship　in　the　artificial　boundary　are　obtained　by　semi-discretizing　the　semi-infinite　domain　along　the　vertical　depth.　Modal　decomposition　is　utilized　to　convert　the　field　of　the　semi-infinite　domain　in　the　physical　space　into　the　modal　space.　Then　the　dynamic　stiffness　of　the　semi-infinite　domain　in　the　frequency　domain　in　the　modal　space　is　obtained　according　to　both　the　displacement　equation　and　the　force-displacement　relationship　in　the　modal　space.　Second,　a　scalar　continued　fraction,　which　is　convergent　over　the　whole　frequency　domain,　is　proposed　to　describe　the　scalar　dynamic　stiffness　in　the　modal　space　of　the　D＇Alembert　viscoelastic　single-layered　medium.　The　scalar　continued　fraction　is　extended　to　the　matrix　form　to　represent　the　dynamic　stiffness　in　the　modal　space　of　the　D＇Alembert　viscoelastic　multilayered　media.　Last,　by　introducing　auxiliary　variables,　a　time-domain　absorbing　boundary　condition　in　the　modal　space　is　constructed　based　on　the　proposed　continued　fraction.　Subsequently,　considering　the　relationship　of　the　field　in　the　modal　space　and　in　the　physical　space,　a　time-domain　absorbing　boundary　condition　in　the　physical　space　is　obtained　by　converting　the　absorbing　boundary　condition　in　the　modal　space　into　the　physical　space.　Two　numerical　examples　of　a　single-layered　medium　and　a　five-layered　media　verify　that　the　proposed　method　is　accurate　and　stable　for　the　D＇Alembert　viscoelastic　single-layered　medium,　and　for　the　D＇Alembert　viscoelastic　multilayered　media,　in　order　to　ensure　the　proposed　method＇s　property　of　high-accuracy,　the　distance　from　artificial　boundary　to　the　region　of　interest　needs　to　be　about　0.5　times　of　the　total　layer　height　of　the　infinite　domain.　©　2020,　Chinese　Journal　of　Theoretical　and　Applied　Mechanics　Press.　All　right　reserved.