In this study, the effect of composite laying angle on the natural frequency values of a long and flexible cover made of laminated composite material was investigated. Investigation of the effect of the laying angle, a composite cover with rib design with the topgraphy optimization method was used. The cover design used in the study is an industrial design product and has producible features. A design with a total of 20 different laying angles has been made on the ribbed and ribless parts of the composite cover. Care was taken that the selected laying angles do not interfere with manufacturability. Designs with different laying angles are modeled with the ANSYS ACP module. The modal analysis of the created designs was carried out with the finite difference method in the ANSYS program environment. As a result of the modal analysis, natural frequency values of mode 1, mode 2, mode 3, mode 4, mode 5 and mode 6 of these designs were obtained. It was concluded that the best mode 2 natural frequency values (45°,-45°,45°,-45°,45°,-45°,45°) were obtained by using the degree of laying angles. In this design, mode 2 has a natural frequency value of 12.2 Hz, mode 3 33 Hz, mode 4 40.9 Hz, mode 5 57.8 Hz and mode 6 82.7 Hz. In this design, mode 2 has a natural frequency value of 12.2 Hz, mode 3 33 Hz, mode 4 40.9 Hz, mode 5 57.8 Hz and mode 6 82.7 Hz.