Due to high specification of ASHRAE requirements, a data center (DC) must have sophisticated cooling system to maintain its environment conditions. Its high dimensional coupling system dynamics makes controller design very challenging and complicated. A non-linear system model of a precision air conditioning (PAC) system with secondary condenser has been previously developed and then linearized at steady state operating point. Based on the model, a model predictive control (MPC) based controller is designed to deal with coupling state variables(i.e: temperature and relative humidity). The controller also has ability to improve energy efficiency of the PAC system. The performance of the proposed controller is validated through simulation. The results showed the effectiveness of MPC based controller against the defined constraints.