A　high-accuracy　cylindrical　artificial　boundary　condition　(ABC)　for　water-cylinder　dynamic　interaction　problem　is　presented　to　simulate　the　truncated　infinite　domain.　Firstly,　according　to　the　wave　equation　and　boundary　conditions　for　the　three-dimensional　compressible　water,　an　exact　ABC　that　is　global　in　time　and　space　is　developed　by　using　the　method　of　separation　of　variables.　Secondly,　the　dynamic-stiffness　of　the　cylindrical　ABC　is　rewritten　as　a　nested　form　of　the　two-dimensional　linear　and　circular　dynamic-stiffness.　Thirdly,　a　high-accuracy　ABC　that　is　local　in　time　but　global　in　space　is　obtained　by　applying　the　temporal　localization　method.　Fourthly,　the　resulted　high-accuracy　ABC　is　discretized　using　finite　element　method.　Lastly,　a　symmetric　second-order　ordinary　differential　equations　in　time　is　developed　by　coupling　the　results　with　the　finite　element　equation　of　the　near　field.　The　finite　equation　can　be　solved　by　explicit　time　integration　algorithm.　Numerical　example　demonstrates　that　the　presented　ABC　is　accurate,　efficient　and　stable.　©　2019,　Engineering　Mechanics　Press.　All　right　reserved.