Carbon Fiber Reinforced Polymer (CFRP) is extensively utilized in the cutting-edge industries, attributed to its superior mechanical performances. The machining performance of CFRP, however, is significantly influenced by its pronounced anisotropy, particularly the fiber orientation. Consequently, Fiber Cutting Angle (FCA) is widely employed to assess the relationships between cutting geometry and machining performance, yet the coupling of cutting orientation and fiber orientation, along with the absence of feeding angle, limits the further exploration into the underlying mechanisms. This article introduced a novel geometrical framework termed “Cutting Geometry Space” (CGS), for modeling CFRP machining process. Incorporating feeding orientation, cutting orientation and fiber orientation, CGS is applied in milling process for an enhanced comprehension of cutting geometry. Additionally, a pragmatic milling experiment is designed, efficiently evaluating the performances of 1092 combinations of CGS parameters in 13 T700-12K/epoxy CFRP specimens. Microscopical observations and morphological analyses reveals four predominant fracture mechanisms in CFRP machining, with fiber-matrix debonding and bending-induced fracture identified as the key contributors to macroscopic cavity formation. A designated "Damage Zone" within the CGS, encompassing a cutting angle range of 90°–270° and a fiber tilt angle of 15°–60°, is identified as a high-risk area for machining-induced surface cavities. Additionally, the impact of feeding orientation on the surface integrity is confirmed and explained by the influence on the equivalent FCA. Furthermore, the study elucidates chatter marks as a phenomenon induced by a confluence of factors, including generalized down milling, high FCA, and a significant effective cutting fiber count. The observed shift in chatter mark with varying feeding angles provides deep insights into the complex dynamics of machining parameters.