The tensile creep rupture and creep damage mechanism of 2D-Cf/SiC composite were investigated in present work in air. The applied temperatures are 700℃ and 900℃ , and the stresses are 50MPa, 75MPa and 100MPa, respectively. The creep rupture time of the material was fitted by Larson-Miller equation. The microstructures and fracture morphology were analyzed by a scanning electron microscopy. The results show that the rupture time of the 2D-Cf/SiC composite was influenced by the applied stress and temperature. Higher stress or temperature causes the shorter creep rupture time. During the creep, the oxidation plays critical role in determining the creep rupture time. The creep damage of 2D-Cf/SiC resulted from stress and the oxidation. Compared with the former, the damage caused by the latter made a more significant effect on the creep rupture time of the composites.