We propose a site-bond percolation model based on generating function method, and then apply it to four representative concrete networks to observe accuracy of its estimates. Finally, we discuss causes of the inaccuracy and give simple applications. Our site-bond percolation model could be used to anticipate the connectivity of various real networks after site and bond attack and study their entire robustness. Process procedure of the model is simple, and the accuracy of its estimates is acceptable compared with that calculated with the message passing algorithm. Meanwhile, its calculation time is much lower than that of the information passing algorithm. Therefore, it has good application potential.