Ossett is a market town in West Yorkshire, England. It is in the City of Wakefield district. Historically part of the West Riding of Yorkshire, it i…Ossett is a market town in West Yorkshire, England. It is in the City of Wakefield district. Historically part of the West Riding of Yorkshire, it is situated between Dewsbury, Horbury and Wakefield. At the 2021 census, the town had a population of 21,861. Ossett forms part of the Heavy Woollen District.