Vibration control can be divided into two categories: passive and active control. Active control is provided by the negative linear velocity and acceleration feedback controller. The vibration of a nonlinear dynamical system is reduced by the Negative linear velocity and acceleration feedback controller in the worst resonance case ( ). This system has one degree of freedom, which contains the third order of nonlinear terms, as well as an external force. The response of the nonlinear system is determined using the multiple scale perturbation technique. Frequency response equations are used to test the stability of the numerical solution. The impacts of different parameters on the vibrating system is studied and reported on. Numerically, we investigated the time histories of the system before and after using Negative linear velocity acceleration feedback controller using Runge – Kutta of the fourth order and studied the response curve with detuning parameter . Finally, the approximate and numerical solutions accord well.