This paper presents the convergence behavior of Discrete Kirchhoff Mindlin Triangular (DKMT) element in skew plate problems. The DKMT element has three nodes with 3 degrees of freedom (dof) on each node. Not only for a thin plate, but the DKMT element is also valid to be used for thick plate structures. The DKMT element is further reformulated to analyze skew FGM plate problem. FGM has high-temperature resistance and eliminates stress differences between materials (delamination). The properties of FGM that used in this paper are metal and ceramic. Metal is a material that is resistant to structural flexibility, while ceramic is a material that is resistant to high temperatures. The aim of the numerical tests for the skew plate problems is to show the convergence behavior of the DKMT element in FGM structures. The central displacement of skew FGM plate is then compared to the reference solutions. Different boundary conditions, types of meshing, ratio L/h, and power-law index are evaluated. The DKMT element gives good results on skew FGM plate problem.