Carbon fiber-reinforced composites (CFRCs) have broad applications in aerospace, electronics, automobile, and marine industries due to their superior properties like high modulus, lightweight, good wear and corrosion resistance, and high strength. Past failures show that the failure of these composites depends on the loading type and materials used. This work proposes a hybrid phase field model to analyze the effect of loading manner on fracture behavior and mechanical response of the carbon fiber-reinforced composite. An in-house MATLAB code based on phase field formulation has been prepared to perform numerical simulations by considering two-dimensional plane strain quadrilateral elements. The load-carrying capacity and crack path obtained in different cases are briefly discussed and compared in the present work. A crack deviation and merging phenomena are observed during the crack growth analysis of carbon fiber-reinforced composite specimens. Also, a numerical case is conducted to validate the current phase field model, where results are in well agreement.