Network study combined with the generating function and percolation theory is used to study the outbreak of infectious disease with multiple infected stages among people, so the network topology is made more clear and convenient. The infected period is divided into n stages: I₁, I₂,…,I_n. The calculation of the disease outbreak threshold, the scale of outbreaks,the mean degree of infected nodes, and the mean degree of uninfected nodes in the spreading epidemic caused by one infected individual are obtained.