This　paper　is　concerned　with　the　semi-global　output　synchronization　problem　of　a　heterogeneous　network　under　self-triggered　control.　A　distributed　self-triggered　control　scheme　in　which　only　local　information　is　used　to　compute　the　triggering　instants　is　proposed.　In　addition,　the　Zeno　behavior　can　be　excluded　in　the　designed　scheme.　By　adopting　the　low-gain　technique,　it　is　shown　that　the　input　saturation　nonlinearity　can　be　avoided　if　the　parameter　of　the　parameterized　feedback　gain　is　chosen　small　enough.　The　algorithm　for　implementing　the　self-triggered　rule　is　also　presented　in　the　paper.