Stochastic multiresonance is considered as an enhancement on the output of a network induced by a bunch of noise intensities. The stochastic multiresonance induced by noise in a FitzHughNagumo neuronal network of subnetworks was studied. The numerical simulations show that there are several peaks of system response with increasing the noise intensity, namely the stochastic multiresonance occurs. Meanwhile, the temporal evolution of mean field membrane potential was studied. Under certain noise intensity, the temporal evolution of membrane potential is regular, and there are several spiking during one period of the input signal, which induces multiresonance. Finally, a clustered network with two subnetworks induced by noises with different intensities was analyzed, and the stochastic multiresonance was also observed in such a case.