In 1916 he enlisted as a volunteer in the French Army and served for the remainder of the First World War, being awarded the Croix de guerre 1914–1918 for his services.
In the aftermath of the German defeat La Chambre served with the Allied occupation forces in the Rhineland.
After completing his legal studies and being admitted to the bar, La Chambre was employed working in the private office of Prime Minister Aristide Briand.
At the 1928 general election, he stood successfully in Saint-Malo and held his seat in the 1932 and 1936 elections.
He was Minister of Merchant Marine from 30 January 1934 – 9 February 1934.