Chambers was the son of George Chambers, son of the architect Sir William Chambers and his wife Jane Rodney, daughter of Admiral the 1st Baron Rodney. He was educated at the Royal Military College, Sandhurst, and served in the Grenadier Guards. In February 1828, he was called to the bar at Lincoln's Inn. He became editor of "The Law Journal" in 1835. He went on the Home circuit and in 1845 was appointed a Queen's Counsel. He was a bencher of his inn and a member of the Royal Institution.
Chambers stood unsuccessfully for parliament at Greenwich at a by-election in February 1852, but was elected as a Member of Parliament (MP) for Greenwich at the general election in July 1852. He was defeated at the 1857 general election. In 1865 he stood unsuccessfully for parliament at Bedford. He was elected an MP for Devonport at a by-election on 22 May 1866, and held the seat until he stood down from the Commons at the 1874 general election.
Chambers died in the Fulham district at the age of 85.
- Papers Past - Wanganui Herald
- William Courthope, Debrett's complete peerage of the United Kingdom of Great Britain and Ireland
- Debrett's House of Commons and the Judicial Bench 1870
- Craig, F. W. S. (1989) . British parliamentary election results 1832–1885 (2nd ed.). Chichester: Parliamentary Research Services. p. 9. ISBN 0-900178-26-4.
- Craig, pages 109–110
- Leigh Rayment's Historical List of MPs – Constituencies beginning with "D" (part 2)
- Foster, Joseph (1885). "Chambers, Montagu". Men-at-the-Bar (second ed.). London: Hazell, Watson, and Viney. p. 80.
- Hansard 1803–2005: contributions in Parliament by Montague Chambers
|Parliament of the United Kingdom|
|Member of Parliament for Greenwich
1852 – 1857
With: Peter Rolt to Feb 1857
Sir William Codrington from Feb 1857
Sir William Codrington
|Member of Parliament for Devonport
1866 – 1874
With: Lord Eliot 1866–68
John Delaware Lewis 1868–74
John Henry Puleston
George Edward Price