Sir George succeeded his father, Sir John Robinson, as Baronet in 1765. He served from 1774-80 as a Member of Parliament for county Northampton. On 2 December 1764 he married Dorothea [d. 1815], granddaughter of Sir William Chester, Bt., of Chichely. They had two daughters and three sons, of whom son (Sir) George succeeded his father as 6th Bt.