According to the annual reports of listed companies，a correlated network of the listed companies and their main stock holders are established． Taking into account the mutual influences，resulted from reduced cash flows or the fracture of capital chain，between the listed companies and the main stock holders，a susceptible-infected-removed model of crisis spreading (SIR) in the stock markets is established． Then，a numerical computation is used to analyze the crisis spreading in the correlated networks when the networks meet the random failure or the intentional attacks． If there are some failures or attacks on the large-scale listed companies or large-scale holding companies (Hub vertices) in the networks，the crisis will spread in a high speed and cause catastrophic damages． In this condition，the networks show a obvious vulnerability; and the stock markets may show domino effects． The research approaches in this paper are helpful for further researches on the transmission mechanism of the economic crisis．