Interest in advanced ceramics has increased significantly due to their unique physical properties and significant improvements in their physical, mechanical properties and reliability. Despite those unique advantages, however, processing difficulties and high costs of advanced ceramics associated with machining high quality surfaces have been the major barrier to their wider applications. Considerable research has been conducted over the past three decades to understand the grinding mechanism, to characterize the machining damage and strength reduction, and to optimize the grinding process. This paper summarizes and discusses the published works related to damages in ground advanced ceramics, over the last decade mainly, which divided into two groups: experimental method, theoretical and numerical method. The future research areas for better modeling and simulating of ceramics grinding operations with continuum damage mechanics are highlighted.