The phase boundary relationships for site-bond percolation and diluted magnetic system transition are established by generalizing the universal relationships of pure site and pure bond percolations. As compared with other methods used to treat the problems of site-bond percolation and diluted magnetic system transition, it can be found that the relationships given in the present paper has some advantages, such as, simplicity, convenient to use, and accuracy. Especially, it has a clearer physical meaning.