Leyburn is a market town and civil parish in North Yorkshire, England, sitting above the northern bank of the River Ure in Wensleydale. Historically in the North Riding of Yorkshire, the name was derived from 'Ley' or 'Le', and 'burn', meaning clearing by the stream. Leyburn had a population of 1,844 at the 2001 census increasing to 2,183 at the 2011 Census. The estimated population in 2015 was 2,190.