UPS – Shaftesbury – Opening Hours & Location Details Visit UPS at 1 Bell Street, about a 0.10 mile driving distance north from the centre of Shaftesbury (by Westminster Memorial Hospital). The branch is pleased to serve customers within the areas of Gold Hill, Dockham Bottom, Shaftesbury Town Centre, Cann, Motcombe, Nadder Head, Wincombe Park and Enmore Green. Its working hours for today (Friday) are 5:00 am until 4:30 pm. Here you’ll find the opening times, place of business address details or phone info for UPS Shaftesbury.