A red-green-blue plasmonic random laser is achieved in a multilayer structure, which is fabricated by spin-coating three polymer solutions successively on a silica substrate. Under optical pumping, strong amplification of the polymer radiation can be observed due to the localized surface plasmon resonance of silver nanoparticles embedded in the multilayer structure. Red-green-blue random lasing is simultaneously obtained from the sample based on the enhanced scattering strength of silver nanoparticles. These results are useful for designing compact integrated random laser sources.