The aim of this thesis, conducted in collaboration with Esteco S.p.A. and Optimad S.r.l., is to develop a preliminary study on the multidisciplinary and multi-objective shape optimization of a high-performance supersonic jet. As a reference baseline, a representative fighter aircraft featuring a conventional aerodynamic design will be considered, characterized by a single vertical tail plane, a double-surface horizontal tail plane and a truncated delta wing planform. In this study, the original configuration will be modified in order to optimize its aerodynamic and stealth observability characteristics. In detail, an investigation aimed at minimizing aerodynamic drag and radar cross section will be proposed, although constraints will be imposed in order to guarantee same lift and static longitudinal stability characteristics.