A theory of stimulated Brillouin scattering (SBS) has been developed for metallic nanohybrid fiber, which is made of an ensemble of metallic nanoparticles doped in a dielectric nanofiber. We consider that input probe light photons scatter within the nanohybrid and produce stimulated Brillouin scattered photons and acoustic phonons. The coupled-mode formalism based on Maxwell’s equations is used to obtain the SBS intensity, the SBS energy, and the SBS absorption coefficient. It is found that the SBS depends on the third-order susceptibility, which is evaluated by the density matrix method. An analytical expression of the SBS intensity, energy, and absorption coefficient is calculated in the presence of surface plasmon polaritons (SPPs) and dipole-dipole interactions (DDI) between nanoparticles in the ensemble. Next, we have compared our theory with the experimental data for a nanohybrid made of an ensemble of Au-nanorods doped in water. A good agreement between theory and experiment is found. We have also performed the numerical simulations to study the effect of SPP and DDI fields on the SBS intensity. We have predicted an enhancement in the SBS intensity due to the SPP and DDI couplings. The enhancement is due to not only the scattering mechanisms of the probe photons with acoustic phonons but also the extra scattering mechanisms from the SPP and DDI polaritons with acoustic phonons. The SBS analytical expressions can be useful for experimental scientists and engineers who can use them to plan new experiments and make new types of plasmonic devices. The enhancement effect can be used to fabricate new types of SBS nanosensors and amplifiers.