 He was educated at Rugby School and by private tutors at Caenby.He served as High Sheriff of Northumberland in 1801 and was Member of Parliament for Northumberland 1812–1820.Monck was an avid Hellenist and in 1817, with the assistance of architect John Dobson, he completed the building of an impressive new mansion house in Greek Revival style, Belsay Hall, adjacent to Belsay Castle in Northumberland.