For　slope　condition　of　ground　surface,　the　asymmetrical　deformation　about　the　vertical　center　line　and　the　horizontal　center　line　of　the　tunnel　cross　section　can　be　formed.　A　unified　displacement　function　expressed　by　the　Fourier　series　is　presented　to　express　the　asymmetrical　deformation　of　the　tunnel　cross　section.　Five　basic　deformation　modes　corresponding　to　the　expansion　order　2　are　a　complete　deformation　mode　to　reflect　deformation　behaviors　of　the　tunnel　cross　section　under　slope　boundary.　Such　this　complete　displacement　mode　is　implemented　into　the　complex　variable　solution　for　analytically　predicting　tunneling-induced　ground　deformation　under　slope　boundary.　All　of　these　analytical　solutions　are　verified　by　good　agreements　of　the　comparison　between　the　analytical　solutions　and　finite　element　method　results.　A　parameter　study　is　carried　out　to　investigate　the　influence　of　deformation　modes　of　the　tunnel　cross　section,　geometrical　conditions　of　the　tunnel　and　the　slope　angle,　and　＂Buoyancy　effect＂　on　the　displacement　field.　Finally,　the　proposed　method　is　consistent　with　measured　data　of　the　Hejie　tunnel　in　China　qualitatively.　The　presented　solution　can　provide　a　simplified　indication　for　evaluating　the　ground　deformation　under　slope　condition　of　ground　surface.