On the basis of the new introduced two-mode coherent entangled state representation and the technique of integration within an ordered product of operators, we derived some operator identities of the operator functions about the quadrature of two-mode optical field, such as （X1+X2）/21/2 and （μX1+νX2）/λ, which should be helpful to further studying the high order squeezing properties of optical field and to constructing some generalized-squeezed states.