In　this　letter,　the　convolutional　implementation　of　the　complex　frequency　shifted　perfectly　matched　layer　(CFS-PML)　absorbing　boundary　condition　(ABC)　is　proposed　for　the　finite-difference　time-domain　(FDTD)　method　of　solving　wave　equation.　The　FDTD　solution　time-marching　formulations　of　the　developed　wave-equation　convolutional　CFS-PML　(CPML)　ABC　are　derived.　Several　numerical　experiments　are　used　to　verify　the　capacity　of　the　proposed　algorithm.　Solution　results　confirm　that　the　proposed　CPML　ABC　can　obtain　excellent　absorption　for　both　traveling　waves　and　evanescent　waves.　©　2001-2012　IEEE.