Based on the first order shear deformation plate theory, the formulas of isogeometric finite element based on non-uniform rational B- Splines (NURBS) basis functions are derived to study the free vibration characteristics of metal/ceramic functionally graded plate. The material properties are assumed to be graded only in the thickness direction. Four typical functionally graded plates, which are respectively composed with Al/Al2O3, Al/ZrO2, Ti–6Al–4V/Aluminum oxide, and SUS304/Si3N4, are included in the study. The influence of the gradient index, the boundary contition and the plate length-to-thickness ratio on the frequencies of functionally graded material plate are investigated in details. Numerical examples show that the accuracy and the convergency ratio of the isogeometric finite element method are high, and the method can effectively analyze the dynamic response of functionally graded plates.