To　conform　the　requirement　of　high　speed　data　transmission　in　TETRA　enhanced　data　service　(TEDS)　wireless　communication　network,　we　design　and　simulate　two　kinds　of　Hybrid　Automatic　Repeat　request　(HARQ)　in　TEDS.　First　we　design　and　simulate　traditional　HARQ,　then　we　design　and　simulate　chase　combining　HARQ.　We　also　analyze　the　results　of　the　simulation,　to　deduce　if　adding　HARQ　mechanism　in　TEDS　can　improve　the　performance　of　TEDS　wireless　communication　network　and　if　it　is　valuable　to　add　HARQ　mechanism　in　TEDS　wireless　communication　protocol.　©　2011　IEEE.