Due　to　the　salient　feature　of　cutting　operation,　the　numerical　manifold　method　(NMM)　can　deal　with　an　any-shaped　problem　domain　by　the　simplest　regular　grid.　However,　this　usually　creates　many　irregularly　shaped　lower-order　manifold　elements.　As　a　result,　the　NMM　not　only　needs　lots　of　integration　points,　but　also　encounters　severe　locking　issues　on　nearly　incompressible　or　bending-dominated　conditions.　This　study　shows　a　robust　single-point　integration　rule　to　handle　the　above　issue　in　the　two-dimensional　NMM.　The　essential　idea　is　to　separate　the　virtual　work　of　an　element　in　terms　of　moments　to　the　center,　so　that　a　zero-order　main　term　and　higher-order　stabilizing　terms　are　obtained.　Further,　the　volumetric　locking　and　the　shearing　locking　are　avoided　by　modifications　to　the　spherical　part　and　shearing　part　of　the　stabilizing　terms,　and　hourglass　deformation　is　overcome　since　stabilizing　terms　are　always　non-zero.　Consequently,　in　addition　to　fewer　integration　points,　the　rule　improves　accuracy　since　it　is　free　from　locking　or　hourglass　issues.　Numerical　examples　verify　the　robustness　and　accuracy　improvement　of　the　new　rule.