This application relates to an apparatus and method for analyzing the damping characteristics of a carbon composite material. Damping analysis of carbon composite material using modal damping ratio is a conventional method that cannot accurately represent viscous damping coefficient variation but has errors in a sensitivity analysis. The damping characteristics of the carbon composite material were described by a parallel combination of the viscous damping coefficient of carbon fiber and binding matrix. The damping characteristics of the carbon composite material were expressed with the sensitivity index calculated only from the viscous damping coefficient of the carbon fiber by removing the viscous damping coefficient of the binding matrix that does not change depending on the carbon fiber direction. Various embodiments improve accuracy in analyzing the damping characteristics of carbon composite material.