Determining the interval parameters of structural dynamic characteristics and the extreme value of static response can solve some structural uncertainties. The dynamic characteristics and static response of structures are always closely linked with the parameters. Finding the intrinsic link between them can make the calculation of the dynamic characteristics and the extreme value of interval structure simple and effective. Through function derivation of elastic modulus E and mass density ρ, it can be found that they are related to structural dynamic characteristics and static response. And the dynamic characteristics of trusses are taken as an example to calculate the maximum displacements of loading direction and unloading direction, their parameters are compared and the relation between elastic modulus and the displacement of loading direction are verified.