Abstract: Common research model(CRM) wing-body-horizontal tail configuration was the reference geometry selected by 4^th AIAA Drag Prediction Workshop (DPW IV). The statistical analysis of the numerical results from DPW IV illustrates obvious difference between experimental data and computational data. Aerodynamic characteristics of CRM wing-body-tail configuration with support system (CRM-WBHS) were simulated with CFD method and fluid-structure-coupling (FSC) method to assess the influence of support system and static aeroelastic deformation on the aerodynamic characteristics of CRM wing-body-tail configuration (CRM-WBH). Compared with the CFD results of CRM-WBH model and the experimental data from European Transonic Wind Tunnel (ETW), the CFD numerical results of CRM-WBHS model show that the support system moves the shock wave upward on the wing upper surface, decreases the lift coefficients, drag coefficients and increases the pitching moment coefficient. The FSC numerical results of CRM-WBHS model show that static aeroelastic deformation mainly affects the shock wave position on the wing upper surface, decreases the negative pressure coefficients obviously before the shock wave on the outward part of the wing, and further decreases the lift coefficients, drag coefficients and increases the pitching moment coefficient. FSC numerical results of CRM-WBHS model are more closely matched the experimental results.