A　two-order　asymptotic　solution　for　sharp　V-notch　tip　mechanics　field　in　elasto-viscoplastic　solids　with　power-law　form　under　mode　I　loading　is　developed.　The　stress　exponents　and　angular　distributions　for　various　notch　angles　and　viscoplastic　exponents　for　the　second　terms　are　reported.　The　stress　exponent　of　the　first　order　is　singular　and　is　non-singular　except　for　low　creep　exponent　with　small　notch　opening　angle.　Compared　with　finite　element　results　from　several　V-notched　specimens,　it　is　found　that　the　two-order　solution　can　have　a　better　estimate　for　those　cases　with　small　notch　opening　angles,　e.g.,　α　=　30°　under　n　=　5,　than　that　of　one-order　solution　regardless　of　viscoplastic　extent,　specimen　type　and　loading　level.　One-order　term　solution　is　demonstrated　to　be　sufficient　to　characterize　the　full　field　of　sharp　V-notch　specimen　for　those　conditions　that　elastic　term　is　considered　into　higher　order　term,　e.g.,　α　=　60°　under　n　=　5,　in　all　specimens　under　various　viscoplasticity　extents.　©　2021　Elsevier　Ltd