Abstract: The 3-D incompressible steady time -averaged N-S equation , K-ε turbulence model equations based on RNG method are applied to calculate the flowfield in the compressor cascade passage with axial skewed slotted hub treatment .By using the method of zonal grids, single grid system with lapped zones which would transfer the flow parameters is established in the course of calculation . The mechanism of extending stability of axial skewed slotted hub treatment and effect on the compressor are elaborated by means of a 3-D viscous numerical simulation. It is revealed that shape parameters of axial skewed slotted hub treatment are main factors which should be paid attention in the design of hub treatment . They strongly affect stable working range of the compressor.The SIMPLE algorithm with non-stagger grid is employed and the question of the pressure oscillating is solved.