Abstract: The non-planar vortex lattice method is used to accomplish the aerodynamic modeling for flexible aircraft. Its applicability in compressible aerodynamic computation is investigated. Furthermore, the structural geometrically nonlinear analysis and the surface spline interpolation are combined with non-planar aerodynamic computation to establish the geometrically nonlinear aeroelastic analysis for very flexible aircrafts. A complex engineering model is selected as an example to conduct the non-planar aerodynamic computation and nonlinear static aeroelastic analysis. The analysis results indicate that the non-planar vortex lattice method can well accomplish the aerodynamic modeling considering the non-planar effects even under a compressible occasion. The geometrically nonlinear static aeroelastic analysis is more reliable and more accurate.