Carbon fiber reinforced resin matrix composites have been widely used in aerospace，transportation，and new energy fields due to their excellent properties such as high specific strength，high specific modulus，corrosion resistance，heat resistance，and thermal stability.At present，the constitutive models for carbon fiber composites are generally obtained by experimental methods or finite element methods，but the analytical modeling is still challenging due to their complex microstructures and multiaxial loading failure mechanisms.Therefore，a systematic review of the relevant research progresses reported in the literature on the analytical modeling of constitutive models for carbon fiber reinforced resin matrix composites is presented.First，the current status of research on the construction of constitutive models for carbon fiber reinforced resin matrix composites is outlined.Second，starting from the constitutive models for unidirectional carbon fiber composites，the relationships between the stress and strain of the carbon fiber and the resin matrix are analyzed separately，and the corresponding calculation methods of the constitutive models for the composites are described.Third，the mechanical structures of three-dimensional braiding composites are analyzed，and the constitutive models for unidirectional carbon fiber composites is extended to develop the progressive damage constitutive models for multi-directional carbon fiber composites.Finally，the development trends of the constitutive models for carbon fiber reinforced resin matrix composites is put forward.