Skew-plate is unavoidable in aerospace, civil, and mechanical engineering. It is challenging to ascertain how significant the dynamic response on a skew plate on an elastic foundation is. This study uses a higher-order finite element method and the modified Vlasov model to investigate the vibration of a four-nodded skewed plate on an elastic foundation. A Matlab algorithm has been written to tackle the boundary conditions within the present formulation. The code undergoes validation through convergence studies. The findings demonstrate a significant level of concordance with previous research. Additionally, a parametric analysis provided tabular and graphical representations of the first ten natural frequency characteristics. Based on the study, the present method is straightforward and excellent for skew plates on Vlasov foundations. It has a reasonable convergence rate, is precise, and requires little computation time and effort. Numerical results of free vibration analysis of skewed plates resting on elastic foundations for various support conditions will demonstrate the effectiveness of the present elements to provide multiple results and serve as a handy reference for future practitioners and design engineers in this field.