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Patte synchronization in a two-layer neuronal network is studied.For a single-layer network of Rulkov map neurons,there are three kinds of pattes induced by noise.Additive noise can induce ordered pattes at some intermediate noise intensities in a resonant way;however,for small and large noise intensities there exist excitable pattes and disordered pattes,respectively.For a neuronal network coupled by two single-layer networks with noise intensity differences between layers,we find that the two-layer network can achieve synchrony as the interlayer coupling strength increases.The synchronous states strongly depend on the interlayer coupling strength and the noise intensity difference between layers.