Sutherland was the son of Benjamin John Sutherland, a shipping merchant of Thurso House, Newcastle upon Tyne. He was educated at the Royal Grammar School, Newcastle and in 1884 joined the shipbrokers Lindsay, Gracie & Co as a clerk. He left to open a steamer department in his father's firm, later turning it into a successful cargo shipping business, B. J. Sutherland & Co. He was chairman of that firm and several other shipping operators.
In 1910 Sutherland was elected to Newcastle City Council and served as Sheriff of Newcastle in 1916–1917 and Lord Mayor of Newcastle upon Tyne in 1918–1919. He was also a Justice of the Peace for the city for many years and chairman of the governors of his old school, to which he donated considerable sums of money. In 1936, the Durham University College of Medicine and Armstrong College were about to merge to form King's College in the University of Durham and he donated £200,000 to establish a new medical school at the newly named King's College, Newcastle upon Tyne, now the equivalent to £6 million. Later he gave £50,000 to develop the dental school which had been founded in 1895, which was named the Sutherland Dental School in his honour, and afterwards used his coat of arms and motto Sans Peur (Fearless) as its badge. He served as High Sheriff of Northumberland in 1943.
In 1943 Sutherland, a director of the Blyth Dry Docks and Shipbuilding Company, was charged alongside his friend and neighbour, Newcastle Alderman Robert Stanley Dalgleish, managing director of the company, with conspiring to bribe Admiralty official Charles James Butt. After a five-day trial at Leeds, Sutherland was found not guilty; Dalgleish and Butt were convicted and gaoled. Sutherland was the last private owner of Dunstanburgh Castle which he donated to the nation in 1929. He bequeathed his town house, Thurso House in Jesmond in Newcastle upon Tyne, to the city for use as the new official Mansion House, after using it as a home to entertain lavish parties. Sutherland also owned many properties in London. He once owned Close House, Northumberland.
Sutherland was appointed Knight Commander of the Order of the British Empire (KBE) in the 1920 civilian war honours for his services as Lord Mayor and created a baronet in the 1921 Birthday Honours.
- Obituary, The Times, 30 March 1953