Ocean wave energy is a promising area of renewable energy development. However, there are unique operational challenges, particularly with regards to modeling, estimation, and control. Model Predictive Control (MPC) is a widely studied control approach that has strong potential for successful application to ocean wave energy conversion. It combines a predictive element, which is necessary for optimal wave energy conversion, along with consideration of system limitations, which is extremely important when operating within the very large forces present in ocean hydrodynamics. This paper presents MPC formulation and experimental testing, applied to the 1/15th scale Azura wave energy converter developed and tested by Northwest Energy Innovations (NWEI). The results demonstrate successful prototype testing, with MPC providing an average increase in power production of 36% over standard fixed damping for six cases of sea states.