Post Office – Leeds, The Markets – Opening Hours & Branch Details Post Office is easily accessible at 6 – 16 New York Street, about a 0.52 mile driving distance south-east of the centre of Leeds (next to Junction 13 of A61 / Duke Street). This branch is a great addition to the local businesses of Hunslet, Leeds City Centre, Burmantofts, Holbeck, East End Park, Little London, Beeston Hill and Cross Green. Today (Friday), hours of business start at 9:00 am and end at 5:30 pm. Here you can find the specifics for Post Office Leeds, The Markets, including the hours of operation, local map, contact number and further pertinent information.