The integration of hydrogen networks is useful for reducing fresh hydrogen consumption. This work introduces a simple strategy to integrate hydrogen networks with multiple impurities. The suggested approach is formed based on selecting the two smallest summations of mole fraction free hydrogen (STSSMFFH) that lie in the given sink. The comprehensive design steps are ofered to achieve minimum utility consumption of the hydrogen. In this technique, the accurate fow rate of each source stream is calculated via a set of material balance relations. Three literature case studies are indicated for the usefulness of the suggested method. The results show reductions of more than 50% in fresh hydrogen and waste using this approach