Model predictive controller (MPC) is an effective solution for improving the oscillations in a single machine infinite bus (SMIB) power system connected with a FACTS device, unified power flow controller (UPFC). UPFC is mainly used in the transmission systems which can control the power flow by controlling the voltage magnitude, phase angle and impedance. And as a controller, MPC, not only provides the optimal control inputs, but also predicts the system model outputs which enable it to reach the desired goal. So, model predictive unified power flow controller (MPUPFC), a combination of UPFC and MPC along with proper system model parameters can provide a satisfactory performance in damping out the system oscillations making the system stable