© 2021 IEEE.The present study describes the adjoint based shape optimization of sub-merged trapezoidal intake. Initially direct results on the baseline geometries are compared with published results which are found to be in good agreement. Thereafter study proceeds to shape optimization using as multiobjective optimization technique. The combined multi-objective objective function is employed, comprising of total pressure at AIP and lift of the aerodynamic body. The inherent shape of the sub-merged intake gives low drag but also low-pressure recovery, therefore lift as an additional objective can give advantage over other intake types. The study is performed using SU2 the flow solver together with the built-in adjoint solver and the FFD box which is the shape deformation tool in a parallel computing environment. A reduction in total pressure loss of 10% was achieved at AIP while CL/CD increased for the overall body.