UPS – Stowmarket – Opening Hours & Location Details UPS is found in a good spot on Finningham Road, approximately 2.48 miles north from the centre of Stowmarket (near Shoulder of Mutton). The branch is situated in a convenient location to serve the patrons of Haughley Green, Ward Green, Gipping, Stowmarket, Haughley, Columbyne Hall and Old Newton. If you’d like to swing by today (Friday), its operating hours are from 6:30 am to 8:00 pm. On this page, you may find location hours, place of business info, customer experience and more information about UPS Stowmarket.