Brand was the only son of Thomas Brand and his wife Margaret Nicholl, daughter of John Nicholl of Chipping Barnet, Hertfordshire and Margaret Marsh, heiress to a property known as Pricklers, in Chipping Barnet, Hertfordshire (now known as Greenhill Gardens,East Barnet).
Brand was returned unopposed as Member of Parliament for New Shoreham in 1741 on the interest of John Phillipson. In 1747, he was returned as MP for Tavistock by his friend the Duke of Bedford. He became more closely connected with the Duke when he married Lady Caroline Pierrepont, the daughter of Evelyn Pierrepont, 1st Duke of Kingston-upon-Hull who was an aunt of the Duke's wife. He was returned as MP for Gatton in 1754 and for Okehampton in 1768.