He joined the Army as an Ensign in the 1st Regiment of Foot Guards in 1745. He was subsequently promoted lieutenant and captain, and went to the 2nd Regiment of Foot Guards as captain and lieutenant-colonel on 6 February 1750. He retired from the army in June 1758,[3] having succeeded as 2nd Earl of Darlington on the death of his father. He was then appointed Lord Lieutenant of County Durham from 1758-death, Governor of Carlisle from 1763-death and Master of the Jewel Office from 1763 to 1782.
Having inherited Raby Castle, County Durham in 1758, Vane continued his father's work to convert the castle into a residential mansion with the help of architect John Carr. He died in 1792 at Raby Castle and was buried there. He was succeeded by his only son William Harry Vane, 3rd Earl of Darlington, who was later made Duke of Cleveland.