The Leyda Valley producer will switch its core range of wines from current distributor Alliance Wines on 1 September 2015.
The flagship wine is Amayna, which was launched in 2003, and Buckingham Schenk will also distribute its Boya range.
All wines will be poured at the Mercado Chileno trade tasting in London next month.
Craig Durham, managing director at Buckingham Schenk, said: “We are thrilled to be working with such a prestigious producer as Garcés Silva Family Vineyards in the UK and are very proud to add their iconic wines to our portfolio.
“Following our success in Argentina, this is a natural progression for us and we look forward to working with the Garcés-Silva family.”