Abstract: The construction algorithm of small-world (WS) network was adopted to add randomly rewired hyperedges to the hypernetwork (also called hypergraph) to construct a small-world hypernetwork model. This model was used as the underlying network for information propagation, and a small-world SIR information propagation model in hypernetworks was proposed. A simulation was conducted to investigate the influences of hyperedge rewiring probability, number of neighboring nodes in the hypernetwork, and propagation and recovery rates on the hypernetwork's information propagation process. A comparative analysis is performed with the information propagation process in a normal network, and it is found that information spreads faster and reaches a wider range in hypernetworks. Furthermore, the small-world characteristics and information propagation rules of hypernetworks are verified on three types of empirical hypernetworks. In the era of everything interconnected, where the world is becoming smaller, there is certain reference significance for the in-depth study of more complex information and disease propagation mechanisms in the real world.