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Fundamental frequency determination can help us to find where the resonance will happen. The need of dynamics characteristic is one of the major concerns to find the natural frequency. This paper aims to find the natural frequency of a laminated composite plate and optimizing the plate to get maximum frequency. Finding the optimum design by experimentally are more expensive. To avoid the complications now a days the researchers are using computational method. The present work offering an approach to design optimization of a composite plate with FEA tool and to achieve different combinations of objective using Design of Experiment (DOE) and the maximization of the fundamental natural frequency by using ANSYS Design explorer.