Abstract: Compared with metal, ceramic or other structural materials, continuous fiber-reinforced polymer composites can offer significant advantage for their excellent design tailorability, mechanical properties, fracture toughness, good resistance to corrosion and fatigue, and are widely used in aerospace, transportation, energy, machinery and other fields. The organic combination of continuous fiber-reinforced polymer composites and additive manufacturing technology has the potential to promote new revolution for weight saving and structure-function integrated manufacturing of high-end equipment. This paper reviewed the recent research progress of extrusion and impregnation methods, printing temperature, auxiliary process, printing speed, printing spacing and geometric construction methods in additive manufacturing of continuous fiber composites. The influence of various process parameters on properties of the formed parts was emphatically discussed. Finally, the present challenges and future development directions have been prospected for reference.