A new strategy is proposed to find optimal fibers orientation of stiffened laminated composite panels to reach their maximum buckling load. To do so, buckling analysis of laminated stiffened composite panel is performed by using the ABAQUS software. A new hybrid algorithm based on the particle swarm optimization (PSO) and genetic algorithm (GA) is introduced for the optimization purpose. The conventional PSO method is improved by introducing a new inertia weight of velocity in the formulation. The validity of the proposed modeling technique is controlled by comparing the modeling results with that of experiment, and other previously published models and a satisfactory result has been achieved. Also, it has been found that the proposed optimization method has better performance than the existing methods, in terms of convergence speed and the accuracy of the algorithm. Moreover, the effects of shape of stiffeners, number of panel layers, curvature of panel, and boundary conditions on the optimal design are investigated. • Buckling load optimization of stiffened laminated composite panels is studied. • An improved PSO-GA optimization technique is introduced. • A new inertia weight for the PSO is proposed. • Mix of the FEM and developed evolutionary optimization technique is proposed. • Influences of different parameters on the optimal results are investigated. [ABSTRACT FROM AUTHOR]