This work describes the application of an offset-free model predictive controller for a Vapor Compression Cycle (VCC). The MPC strategy is based on an empirically-identified linear model obtained using data simulated from a first-principle model of a VCC. The VCC model is interfaced with a building simulation EnergyPlus. The MPC strategy incorporates both economic and control objectives and estimates unaccounted disturbances to the linear models using an augmented state-space model coupled with a Luenberger observer. Tuning rules are developed to enable the ‘decoupling’ of the Luenberger design and choice of MPC parameters, leading to offset elimination and superior tracking performance while reducing the energy demand on the VCC, relative to traditional control approaches.