A certain photon hate is removed from a coherent state by the state superstition Principle. The various Properties of this kind of incomplete coherent State are studied. The resultS show that the vaccum State and the single-Photon State have great and quite different influences uPOn coherence degree and amplitude flutuation as well as photon diStribution in coherent hate. For other cases, the incomplete coherent anes exhibit very similar light Properties which oscillate attenuately and Synchronously with the variation of average photon number.