The effect of multilayer nanoparticles consisting of a conducting spherical core and two shells, dielectric and metallic, on nonradiative energy transfer from organic luminophore molecules to acceptor molecules is studied. The dipole polarizability of the nanoparticle is examined with and without taking into account the degeneracy of the electron gas of the conducting components. The rate of transfer of the energy of electronic excitation between molecules near multilayer nanoparticles and the rate of transfer directly to the nanoparticles are calculated in the quasistatic (near fi eld) approximation of electrodynamics. Multilayer nanoparticles are found to have a signifi cant effect on the decay kinetics of excited singlet states of the donor molecules.Introduction. The optical properties of metallic nanostructures are of ongoing interest because they could serve as the basis of some nano-and molecular electronic devices [1]. Improvements in ultra-high resolution fl uorescence microscopes based on nonradiative transfer of energy from molecules on the tip of a needle to luminophore molecules on a test sample are of particular importance [2]. Here the effect of nanoparticles with different shapes and structures on the transfer of electronic excitation energy to donor-acceptor molecular pairs is of special interest. Resonant enhancement of the rate of energy transfer when the molecules are close to a conducting surface has been reported [3-9] when the emission and absorption spectra of the donor and acceptor molecules overlap with the plasmon spectrum of a nanostructure.In this paper, we consider a spherical multilayer nanoparticle consisting of a metallic core surrounded by two shells, dielectric and conducting. These kinds of structures are of interest because, for a certain geometry of the nanosystem, the scattering of light is increased by three orders of magnitude [10]. We have studied the quenching of electronically excited states of a luminophore molecule by this kind of nanoparticle, as well as the effect of the nanoparticle on the rate of energy transfer between nearby molecules. It should be noted that, to some approximation, this kind of structure can serve as a model for endometallofullerene complexes, and the effect of these systems on the luminescence of dyes has recently also been under active study.Dynamic Polarizability of Multilayer Nanostructures. Consider a symmetric composite nanostructure consisting of a conducting core and two adjoining concentric shells, one dielectric and the other metallic. We place it in the near fi eld of the oscillating dipole of a luminophore molecule; in a quasielectrostatic approximation this fi eld can be regarded as constant and uniform. Treating the electron gas in the metal as classical, we write the solution of the Laplace equation for the potential of the resultant fi eld φ(r, θ) in the form