<p>We study the collective dynamics of a complex network of multi-layered coupled Ricker’s maps. In each node of the network, we consider the local dynamics of the Ricker’s map to be chaotic. The network features local nearest-neighbour connections and randomly chosen non-local connections between the nodes. A phenomenon of stabilisation of a chaotic attractor into a stable fixed point has been explored. Specifically, we focus on the coupling-induced suppression of intrinsic chaos in the population dynamics at the nodes in the multi-layered network, resulting in a globally stable spatiotemporal fixed point. We demonstrate how the probability of randomly chosen non-local links in each layer, the intra-layer coupling strength and the inter-layer coupling strength play crucial roles in creating a longer range of stability in a multiplex network compared to a single layer of coupled chaotic Ricker’s maps. For a simple, low-dimensional network, we also perform a linear stability analysis and numerically compare the qualitative results with those of the higher-dimensional network. Overall, our results indicate that an increase in the probabilities of non-local links, occurring simultaneously in both layers of the multiplex network, expands the stability region of the global spatiotemporal stable fixed point.</p>