Post Office – Dungannon – Opening Hours & Branch Details You’ll find Post Office situated at a prime spot at 11 Market Square, about a 0.28 mile driving distance south of the centre of Dungannon (near to St Anne’s Church). The branch is happy to serve customers within the areas of Drumcoo, Mullaghadun, Dungannon Town Centre, Ranaghan, Killymaddy (Knox), Ballysaggart, Granville and Lisnahull. Doors are open here today (Friday) from 7:00 am until 8:00 pm. Here you may find some beneficial information about Post Office Dungannon, including the branch hours, address details or phone details.