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New Techniques for Multi-block Hybrid Meshes with Non-uniform cells on Interface and appropriate numerical schemes is discussed. In allusion to limitations of patched grids that the cells in different sub-domains must be uniform on interface, a new method for hybrid grid decomposition with non uniform cells(nodes) on interface is developed. In terms of theoretical analysis, the mesh generations of sub-domains are independent with each other, and this property will reduce greatly the difficulties in grid generation of complex problems, such as three-dimensional flows. Simultaneity, numerical schemes based on Jameson's method is developed to match the new grid definition. Numerical results of inviscid flow around NACA0012 airfoil are obtained, and compared with those in references.