For　deep-buried　shield　tunnels　in　dry　cohesionless　soils,　it　is　critical　to　determine　the　support　pressure　acting　on　a　tunnel　face　due　to　the　significant　soil　arching　effect　during　excavation.　In　this　paper,　a　new　analytical　model　of　the　multi-layer　parabolic　bearing　arch　is　proposed　to　predict　the　limit　support　pressure　based　on　the　limit　equilibrium　method　and　the　wedge　model.　The　model　consists　of　the　multi-layer　parabolic　bearing　arch,　the　friction　arch　and　the　wedge.　According　to　the　different　buried　depth　of　tunnel,　the　tunnel　state　is　divided　into　shallow　buried　zone,　transition　zone　and　deep　buried　zone.　By　assuming　the　multi-layer　parabolic　soil　arch　as　a　three-hinged　structural　arch　with　reasonable　arch　axis,　the　load　transfer　expression　of　multi-layer　parabolic　soil　arch　is　derived　in　transition　zone　and　deep　buried　zone　respectively.　Then,　the　rationality　and　effectiveness　of　the　proposed　model　were　verified　by　comparing　with　model　tests,　existing　theoretical　methods　and　numerical　model.　Finally,　the　effects　from　the　internal　friction　angle　phi　of　soil　on　the　inclination　angle　beta,　tunnel　state　and　limit　support　pressure　were　also　discussed.　It　is　shown　that　with　the　increase　of　internal　friction　angle　phi,　the　boundaries　in　between　the　shallow　zone　and　the　deep　buried　zone　declines　linearly,　the　inclination　angle　beta　increases　linearly　and　the　limit　support　pressure　decreases　nonlinearly.　This　study　provides　a　significant　reference　for　predicting　the　value　of　limit　support　pressure　acting　on　the　tunnel　face　in　dry　cohesionless　soils.