In this paper a differential quadrature method is applied for static, free vibration, and stability analysis of skewed and trapezoidal composite thin plates. To mechanize the modelling procedure, a general transformation scheme is employed to transfer the variation of the variables in the computational to the physical domain and vice versa. Examples are shown to show the accuracy and convergence of the solutions under different geometrical parameters and boundary conditions. The accuracy is demonstrated by comparing the results with those of other numerical methods.