<p>With advancements in aerospace engineering design, grid-stiffened shells, vital load-bearing components of aerospace structures, are increasingly required to conform to curved shapes and features, such as cutouts. However, traditional design methods often struggle to meet these evolving requirements. The current study introduces a generative design method for the grid-stiffened curved shells. Initially, the stiffener layout is optimized using an equivalent model based on the homogenization method. Following this optimization, a stiffener control field is constructed, allowing for the detailed description of dense, non-uniform grid stiffeners without the need for additional variables. Building on this model, a refined model of grid-stiffened curved shells is obtained through parametric optimization. A curved surface composed of piecewise polynomials and its variant with cutouts, as well as a cylindrical-like shell composed of non-uniform rational basis spline (NURBS) curves, illustrate the effectiveness of the method. Results indicate that the proposed method increases the critical buckling loads of the two structures by 17.42%, 17.28%, and 15.92%, respectively, compared to optimized traditional orthogonal grid stiffening. These findings underscore the effectiveness of the method in generating innovative designs for grid-stiffened curved shells featuring distinct stiffener paths, enhanced performance, and direct applicability for detailed modeling.</p>