By virtue of the method of integration within ordered product (IWOP) of operators we find the normally ordered form of the optical wavelet-fractional squeezing combinatorial transform (WFrST) operator.The way we successfully combine them to realize the integration transform kernel of WFrST is making full use of the completeness relation of Dirac\'s ket-bra representation.The WFrST can play role in analyzing and recognizing quantum states,for instance,we apply this new transform to identify the vacuum state,the single-particle state,and their superposition state.