Condict was elected as a Democratic-Republican to the Twelfth, Thirteenth, and Fourteenth Congresses, serving from March 4, 1811 to March 3, 1817. He was president of the State medical society in 1816 and 1819. Again elected as a Democratic-Republican in a special election to the Seventeenth Congress, he was then re-elected to the Eighteenth Congress. He was re-elected as an Adams candidate to the Nineteenth and Twentieth Congresses and was re-elected as an Anti-Jacksonian candidate to the Twenty-first and Twenty-second Congresses, serving from October 9, 1821 to March 3, 1833. While in Congress he was chairman of the Committee on Revisal and Unfinished Business (Fourteenth Congress) and a member of the Committee on Expenditures on Public Buildings (Fourteenth Congress). He declined to be a candidate for renomination in 1832, and was elected trustee of Princeton College in 1827, and served in this capacity until 1861, when he resigned. He was one of the incorporators of the Morris and Essex Railroad Co. and became its first president in 1835. In 1837 and 1838 he was again a member of the State house of assembly, and served as speaker. He was a presidential elector on the Whig ticket in 1840. He was succeeded by William Wright as president of the railroad in 1843. In 1860, his name was on the letter that issued the call for the Constitutional Union Party Convention. He died in Morristown; interment was in the cemetery of the Presbyterian Church.