We use the photon Green-function method to study the quantum resonant dipole–dipole interaction (RDDI) induced by an Ag nanosphere (ANP). As the distance between the two dipoles increases, the RDDI becomes weaker, accompanied by the influence of the higher-order mode of the ANP on RDDI declining more quickly than that of the dipole mode. Across a broad frequency range (above 0.05 eV), the transfer rate of the RDDI is nearly constant as the two dipoles are fixed at the proper position, in addition, this phenomenon still exists for slightly different radius of the ANPs. We find that the frequency corresponding to the maximum transfer rate of RDDI exhibits a monotonic decrease by moving away one dipole, with the other dipole and the ANP fixed. In addition, the radius of ANP has little effect on that. As the two dipoles are far from the ANP, the maximum transfer rate of the RDDI takes place at the frequency of the dipole mode. In contrast, when the two dipoles are close to the ANP, the higher-order modes come into effect and play a leading role in the RDDI if they match the transition frequency of the dipole. Our results may be used in biological detector and have a certain guiding significance for further application.