In this study, considering the amplitude-dependence, a nonlinear vibration model of fiber metal laminates thin plate treated with partial constraint layer damping treatments is proposed. Based on the Jones-Nelson nonlinear theory, the model is established by deducing the stress-strain relationships among four layers including fiber layer, metal layer, viscoelastic layer and constraint layer. Then, the nonlinear vibration characters are solved by utilizing the energy method and the Newton-Raphson technique. Next, the damping character is acquired based on complex modulus method. The experimental example of a TA2/TC500 fiber metal laminates plate treated stainless steel/Zn-33 constraint layer damping is performed to validate the presented nonlinear vibration model. Besides, the affections of the treating factors on the nonlinear vibration characteristics of FMLs plate is discussed as well.