United States Two Parties System By lilysackleh 1789 Federalists vs. Anti-federalists Period: 1791 to 1793 Democratic-Republican Period: 1820 to 2018 Modern Democrats Period: 1829 to 1837 Jacksonian Democrats Period: 1854 to 1860 The Party of Lincoln Period: 1860 to 2018 Modern Republicans Period: 1861 to 1865 Civil War 1910 Roosevelt Democrats Period: 1929 to 1939 The Great Depression