This paper presents a simple design procedure for several types of "multiple resonance networks". These networks are LC structures, possibly including transformers, that have the property of transferring all the energy stored in a capacitor or inductor, or possibly a set of them, to another set of these elements at other part of the network, through a linear transient. A design procedure based on network synthesis is described, that allows the generation of these networks with several different structures and properties, without the need of solving a system of equations.