Concerning that the existing infectious disease spread model do not consider the influence and mechanism of specific special network structure and resource factors on controlling infectious disease outbreak， a discrete dynamic propagation model was established by combining the two-layer star coupling network with the Susceptible-Infected-Susceptible （SIS） model of infectious disease. In this model， the structural characteristics and the concept of average degree of the star network were used to derive the discrete equations of the proportion of infected population in every layer with resources and various parameters. Theory analysis and simulation experimental results indicate that， the multi-layer star coupling infectious disease spread network has resource thresholds. When the node is a leaf node， the network has two resource thresholds. Increasing the number of resources to control the spread of infectious diseases is only effective between the two resource thresholds. At this time， the proportion of population infected with infectious diseases decreases with the increase of resources invested. When the node is a central node， the resource threshold in the network reduces from two to one with the increase of proportion of infected population in other layers. Additionally， the control effect of the coupling strength of the inter-layer central node and the inter-layer leaf node on the epidemic varies with the location of the nodes.