While the Pillar procedure can be effective in the treatment of mild to moderate OSA, its effect in combination with CPAP treatment has never been studied. In this study, the treatment of OSA using the Pillar procedure in combination with standard CPAP treatment vs. sham procedure in combination with standard CPAP treatment will be investigated. All subjects will be asked to continue their normal use of CPAP treatment during the study. The study will evaluate whether or not the Pillar implants allow less therapeutic pressure to be used in treating the OSA and if less pressure translates to increased usage.