The　distributed　consensus　control　is　talked　about　for　general　multi-agent　networks　perturbed　by　exogenous　disturbances　including　matched　and　mismatched　ones.　Incorporating　the　equivalent-input-disturbance　(EID)　concept,　a　new　protocol　is　devised　for　the　rejection　of　disturbances　including　both　matched　and　mismatched　ones.　Specifically,　the　outputs　of　the　multiagent　network　attain　asymptotically　consensus　regardless　of　the　mismatched　disturbances;　and　the　states　achieve　asymptotically　consensus　in　spite　of　matched　ones.　Moreover,　the　developed　protocol　does　not　increase　extra　restraints　on　system　design　compared　with　the　original　protocol　without　considering　disturbance　rejection,　and　only　a　few　requirements　on　the　disturbances　are　made.　The　information　shared　among　the　multi-agent　network　is　only　the　relative　output　between　neighboring　agents.　Finally,　numerical　simulation　validates　the　developed　method.