Abstract: Noether's theorem is generalized to the theory of coupled fields with parameters in this paper. Considering that many problems in continuum mechanics have Lagrange densities which are linear combinations of convolution integrals on a parameter of their arguments, the condition of stationary value of these functionals is discussed. Following the thought of Noether's theorem, the author reveals some relations among the invariants of the functionals mentioned above under a family of infinitesimal transformations, variational principles and conservation laws. In addition, two conservation laws for thermo-elasticity are established.