The physical model of twodimensional suerconducting photonic crystal is established. Taking atomic nonharmonic oscillation into account with the help of twofluid model, the equation of photonic band structure is obtained using the method of plane wave expansion. Taking a superconducting photonic crystal YBaCuO as example, the influences of temperature on the photonic band structure are analyzed. The calculations show that the twodimensional photonic crystals have the wider band gaps at the lower temperature, which narrows with the increases of temperature.