This　paper　is　concerned　with　the　semi-global　output　synchronization　problem　of　a　heterogeneous　network　under　event-triggered　control　mechanism.　A　distributed　event-triggered　scheme　is　proposed　in　this　paper.　The　Zeno　behavior　can　also　be　excluded　in　the　designed　scheme.　By　adopting　the　low-gain　technique,　it　is　shown　that　the　input　saturation　non-linearity　can　be　avoided　if　the　parameter　of　the　parameterized　feedback　gain　is　chosen　small　enough.　A　simulation　example　is　provided　to　validate　the　effectiveness　of　the　proposed　scheme.