This work addresses the development of original numerical methods for the aero-acoustic optimal shape design of supersonic con gurations. The rst axis of the present research is the enhancement of numerical approaches for the prediction of sonic boom. The three dimensional CFD near- eld prediction matched using a multipole decomposition approach coupled with atmospheric propagation using on a ray-tracing algorithm is improved by the integration of an automated anisotropic mesh adaptation process. The second part of this work focuses on the formulation and development of design techniques for the optimization of a supersonic wing-body con guration. An inverse design module, AIDA, is able to determine an equivalent con guration provided a target shaped signature at ground level corresponding to a low-boom pro le. In order to improve both the aerodynamic and the acoustic performance, direct shape optimization techniques are used to solve single and multi-disciplinary optimization problems and a detailed analysis is carried out.