In this paper, the time-delay feedback is applied to reduce the dynamic vibration of a rectangular thin-plate under external and parametric excitations. The equations of motion are determined by a von Karman type equation and Galerkin’s method. The analytical solution is obtained by the technique of multiple time scales method (MTSM). The effect of control is studied to show the safe regions in which the system amplitudes can be decreased at some values of time delay. The system response is investigated numerically with and without time-delay feedback near-simultaneously internal and primary resonance ( )    1 1 2   using the Runge-Kutta fourth-order (RK-4) method (package ode45 in Matlab R2014a). The stability of the nonlinear vibrating system is studied by using the frequency response equations according to the Routh-–Hurwitz criterion. The effects of different parameters on the system behavior are investigated numerically. Also, numerical simulations have a good agreement with the analytical solution. Finally, making a comparison with related previously published work.