Born in Central Falls, Rhode Island, Condon attended the public schools. He graduated from Georgetown University Law School, Washington, District of Columbia, in 1916.
He was admitted to the bar in 1916 and commenced practice in Pawtucket, Rhode Island. He served as a sergeant in the One Hundred and Fifty-second Regiment, Depot Brigade, Twenty-third Company, from May 1918 to June 1919. He was an unsuccessful candidate for Lieutenant Governor of Rhode Island in 1928.
He was also Rhode Island department commander of the American Legion in 1927 and 1928.
Condon was elected as a Democrat to the Seventy-first Congress to fill the vacancy caused by the resignation of Jeremiah East. O"Connell and at the same time was elected to the Seventy-second Congress. He was reelected to the Seventy-third and Seventy-fourth Congresses and served from November 4, 1930, until his resignation on January 10, 1935, having been appointed an Associate Justice of the Rhode Island Supreme Court in which capacity he served until January 7, 1958, when he was appointed Chief Justice.
He remained Chief Justice until his death in Boston, Massachusetts, November 23, 1965. He was interred in Mount Saint Mary"s Cemetery, East Providence, Rhode Island.
Served with United States Army, World War I. Knight of Saint Gregory by appointment Pope John XXIII, 1959, Knight commander of order with star, 1961. Member American, Rhode Island, and Pawtucket bar associations, American Legion (Rhode Island department commander, 1927-1928).
Married Lillian F. Jordan, September 29, 1926. Children: Francis Bernard, Lillian Rae.