Norman Ewing was born in Wollongong, New South Wales on 26 December 1870. The son of Anglican clergyman Thomas Campbell Ewing and Elizabeth née Thomson, one of his uncles was John Thomson, who would himself become a Member of the New South Wales Legislative Assembly, and his brother was Thomas Ewing, who would become a member of the Australian House of Representatives.
Ewing was educated at Illawarra College in Wollongong, then Oakwoods at Mittagong, and finally night school in Sydney.
He became a Judge of the Supreme Court of Tasmania, and was Administrator of Tasmania from November 1923 to June 1924. Articled to M. A. H. Fitzhardinge, he became a solicitor in 1894, practising initially at Murwillumbah. In 1895, he contested the New South Wales Legislative Assembly seat of Tweed for the Protectionist Party, but was unsuccessful.
Later that year, Ewing moved to Perth, Western Australia.
He was admitted to the bar the following year, and in 1897 established the firm of Ewing and Downing. That year he published The Practice of the Local Courts of Western Australia.
On 4 May 1897, Norman Ewing was elected to the Western Australian Legislative Assembly seat of Swan. His term was due to continue until 31 December 1903.
In 1902, while still a Senator, Ewing stood unsuccessfully for the position of Mayor of Perth.
In 1905, Ewing moved to Hobart, Tasmania, where he established the firm of Ewing and Seager. He then turned to Tasmanian state politics, winning the Tasmanian House of Assembly seat of Franklin in April 1909. He would hold the seat for over six years, for the last year of which he was Leader of the Opposition.
Ewing was made a King"s Counsel in 1914, and in September the following year resigned his seat in parliament to accept an appointment as a judge of the Supreme Court of Tasmania.
As Judge of the Supreme Court, he was involved in the 1915 Tasmanian Royal Commission into the public debt sinking fund. Charges brought against Doctor Victor Ratten in 1918.
The 1919-1920 Royal Commission into the administration of the Northern Territory, known as the Darwin Rebellion. And the 1920 Royal Commission into the imprisonment of twelve International Who's Who members.
From November 1923 to June 1924, Ewing was appointed Administrator of Tasmania, while awaiting the arrival of the new governor Captain Sir James O"Grady.
In 1924 he had a stroke, and thereafter worked only intermittently. He died at Launceston on 19 July 1928, and was buried at Carr Villa cemetery.
In the federal election of 12 December 1906, he contested a Tasmanian seat in the Senate as an Anti-Socialist, but was defeated by a small margin.
He resigned as Senator eight months early on 17 April 1903, becoming the first member of either house of the Australian Parliament to resign his seat.
