This study aims at a finite element method-based investigation of delaminated composite conoidal shells using static analysis. The effects of boundary conditions, stacking sequences, number of laminates, and areas of delamination have been compared in terms of deflection in this study. For this purpose, an eight-noded isoparametric curved quadratic shell with a square plan has been used for analyzing conoidal thin-shell roofs of graphite-epoxy material. An increasing trend was observed in the maximum deflection with the increasing area of delamination. However, the results also show a reduction in maximum deflection for certain laminations with clamped support having stacking sequence of (−30°/30°) and (0°/90°) with an area of delamination (c/a) 0.25 and 0.75, respectively. Similar trends have been noticed in laminations under the simply supported conditions at (−45°/45°) and (0°/90°), with c/a = 0.5. This study can help researchers and practitioners gain a deeper understanding of the effects caused by delamination by providing them with valuable insights. This knowledge can be applied to actual site conditions to guide the development of better materials, manufacturing processes, and installation methods to prevent delamination issues in practical applications.