Bingham, the son of Lord Clanmorris, entered the Royal Navy in 1895. At the beginning of the First World War, he was given command of HMS Invincible, which saw action at the successful Battle of the Falkland Islands in December, 1914.
During the Battle of Jutland (31 May/1 June 1916), Captain Bingham commanded a destroyer division.
At the Battle of Jutland, Bingham ordered his own destroyer, HMS Nestor, to close to within 2,750 meters of the opposing German battle fleet so that he could bring his torpedoes to bear, with the result that Nestor was sunk.. For his actions, he earned the Victoria Cross, one of relatively few awarded for naval bravery during the First World War.
Bingham was picked up by the Germans at Jutland, and remained a prisoner of war until the armistice. After the war, he remained with the Royal Navy and retired as a Read-Admiral in 1932. Bingham was awarded an OBE.
Bingham died in 1939, and is buried in the Golders Green cemetery in north-west London.