According　to　the　Novak＇s　plane　strain　theory　and　Biot＇s　wave　equation,　this　paper　proposes　an　analytical　model　for　horizontal　vibration　of　partially　embedded　offshore　piles　under　distribution　effect　of　wave　loads　(DEWL)　incorporating　the　diffraction　effects　of　waves.　Firstly,　for　the　pile　above　the　mudline,　the　wave　force　acting　on　the　pile　is　obtained　through　the　method　of　separation　of　variables.　Secondly,　for　the　embedded　section　of　offshore　piles,　the　governing　equations　of　the　seabed　are　decoupled　by　introducing　potential　functions,　and　then　the　boundary　condition　of　the　seabed　and　the　continuity　condition　at　the　soil-pile　contact　surface　are　combined　to　obtain　the　frequency　domain　analysis　of　the　soil　reaction　forces.　Furthermore,　by　applying　the　continuity　condition　of　displacement　at　mudline　and　using　the　matrix　transfer　method,　the　analytical　solution　for　the　horizontal　vibration　characteristics　(HVC)　is　derived.　Finally,　a　comparison　analysis　with　existing　theoretical　solutions　is　conducted　to　validate　the　rationality　and　accuracy　of　the　analytical　solution　proposed　in　this　paper.　Based　on　this,　a　parametric　analysis　is　conducted　to　discuss　the　effects　of　the　parameters　of　the　soil,　the　pile　and　the　wave　on　the　HVC　of　partially　embedded　offshore　piles.　©　2024　Elsevier　Ltd