Carbon fiber reinforced plastieslpolymers (CERPs) offer excellent mechanical properties that lead to enhanced functionat performance and, in turn, wide apptications in numerous industrial fietds. Post machining of CERPs is an essential procedure that assures that the manufactured components meet their dimensional tolerances, surface quality and other functional requirements, which is currently considered an extremely difficutt process due to the highly nonlinear, inhomogeneous, and abrasive nature of CERPs. In this paper, a comprehensive literature review on machining of CERPs is given with a focus on five main issues including conventionat and unconventional hybrid processes for CERP machining, cutting theories and thermatlmechanical response studies, numerical simulations, tool performance and tooting techniques, and economic impacts of CERP machining. Given the similarities in the experimental and theoretical studies retated to the machining of gtass fiber reinforced polymers (GERPs) and other ERPsparaltet insights are drawn to CERP machining to offer additionat understanding of on-going and promising attempts in CERP machining.