| Eigenchampion | EigPts | Most points1 | Pts | T | M | G | |
| 2020-21 | Rangers | 39.038 | = | 112 | 72 | 771 | |
| 2019-20 | Celtic | 35.92 | = | 105 | 82 | 781 | |
| 2018-19 | Celtic | 22.573 | = | 114 | 82 | 977 | |
| 2017-18 | Celtic | 22.938 | = | 109 | 82 | 971 | |
| 2016-17 | Celtic | 61.562 | = | 133 | 83 | 984 | |
| 2015-16 | Celtic | 17.878 | Rangers | 113 | 82 | 963 | |
| 2014-15 | Celtic | 27.182 | = | 114 | 82 | 951 | |
| 2013-14 | Celtic | 17.499 | Rangers | 115 | 82 | 925 | |
| 2012-13 | Celtic | 14.207 | Queen of the South | 112 | 84 | 952 | |
| 2011-12 | Celtic | 22.672 | = | 96 | 80 | 816 | |
| 2010-11 | Celtic | 28.16 | = | 117 | 81 | 954 | |
| 2009-10 | Rangers | 19.909 | = | 108 | 81 | 948 | |
| 2008-09 | Rangers | 23.904 | = | 110 | 82 | 946 | |
| 2007-08 | Rangers | 19.555 | = | 111 | 81 | 945 | |
| 2006-07 | Celtic | 19.42 | = | 103 | 50 | 905 | |
| 2005-06 | Celtic | 14.432 | Gretna | 111 | 50 | 910 | |
| 2004-05 | Celtic | 29.713 | = | 110 | 50 | 894 | |
| 2003-04 | Celtic | 34.365 | = | 116 | 50 | 893 | |
| 2002-03 | Rangers | 33.069 | = | 125 | 50 | 899 | |
| 2001-02 | Celtic | 36.64 | = | 121 | 50 | 897 | |
| 2000-01 | Celtic | 39.984 | = | 125 | 50 | 900 | |
| 1999-00 | Rangers | 33.978 | = | 108 | 48 | 849 | |
| 1998-99 | Rangers | 25.815 | = | 104 | 48 | 821 | |
| 1997-98 | Celtic | 17.156 | = | 98 | 48 | 845 | |
| 1996-97 | Rangers | 20.535 | = | 101 | 48 | 850 | |
| 1995-96 | Rangers | 36.132 | = | 111 | 48 | 847 | |
| 1994-95 | Celtic | 12.277 | Airdrieonians | 94 | 48 | 847 | |
| 1993-94 | Rangers | 14.37 | Falkirk | 114 | 46 | 920 | |
| 1992-93 | Rangers | 32.762 | = | 136 | 46 | 918 | |
| 1991-92 | Rangers | 26.936 | = | 129 | 46 | 921 | |
| 1990-91 | Rangers | 22.033 | = | 100 | 46 | 846 | |
| 1989-90 | Rangers | 18.545 | Aberdeen | 89 | 46 | 821 | |
| 1988-89 | Rangers | 24.023 | = | 112 | 46 | 830 | |
| 1987-88 | Celtic | 28.532 | = | 125 | 46 | 900 | |
| 1986-87 | Rangers | 15.272 | = | 113 | 46 | 900 | |
| 1985-86 | Heart of Midlothian | 17.134 | Aberdeen | 94 | 46 | 823 | |
| 1984-85 | Celtic | 18.119 | Aberdeen | 97 | 46 | 825 | |
| 1983-84 | Aberdeen | 20.951 | = | 122 | 46 | 878 | |
| 1982-83 | Celtic | 22.721 | = | 119 | 46 | 909 | |
| 1981-82 | Aberdeen | 15.959 | = | 114 | 46 | 910 | |
| 1980-81 | Celtic | 11.75 | = | 108 | 46 | 864 | |
| 1979-80 | Celtic | 13.395 | Aberdeen | 100 | 46 | 857 | |
| 1978-79 | Rangers | 16.407 | = | 110 | 46 | 855 | |
| 1977-78 | Rangers | 24.525 | = | 115 | 46 | 851 | |
| 1976-77 | Celtic | 19.362 | = | 118 | 46 | 911 | |
| 1975-76 | Rangers | 21.379 | = | 116 | 46 | 728 | |
| 1974-75 | Rangers | 14.221 | Falkirk | 111 | 46 | 864 | |
| 1973-74 | Celtic | 17.955 | = | 120 | 45 | 847 | |
| 1972-73 | Celtic | 15.369 | = | 126 | 45 | 843 | |
| 1971-72 | Celtic | 27.406 | = | 128 | 45 | 819 | |
| 1970-71 | Celtic | 15.498 | = | 121 | 45 | 823 | |
| 1969-70 | Celtic | 18.886 | = | 122 | 45 | 815 | |
| 1968-69 | Celtic | 23.197 | = | 124 | 45 | 821 | |
| 1967-68 | Celtic | 39.159 | = | 121 | 45 | 824 | |
| 1966-67 | Celtic | 26.608 | = | 130 | 46 | 865 | |
| 1965-66 | Celtic | 18.763 | = | 123 | 45 | 826 | |
| 1964-65 | Kilmarnock | 12.206 | Stirling Albion | 104 | 45 | 825 | |
| 1963-64 | Rangers | 21.157 | Morton | 129 | 45 | 821 | |
| 1962-63 | Rangers | 18.671 | = | 116 | 45 | 823 | |
| 1961-62 | Rangers | 17.512 | = | 121 | 45 | 820 | |
| 1960-61 | Rangers | 13.87 | = | 102 | 45 | 820 | |
| 1959-60 | Heart of Midlothian | 17.549 | = | 102 | 45 | 822 | |
| 1958-59 | Rangers | 13.171 | Ayr United | 104 | 45 | 818 | |
| 1957-58 | Heart of Midlothian | 24.334 | = | 106 | 45 | 818 | |
| 1956-57 | Rangers | 13.882 | Clyde | 120 | 77 | 861 | |
| 1955-56 | Rangers | 13.62 | = | 101 | 77 | 859 | |
| 1954-55 | Aberdeen | 12.41 | Airdrieonians | 95 | 76 | 679 | |
| 1953-54 | Celtic | 10.466 | Motherwell | 95 | 46 | 643 | |
| 1952-53 | Hibernian | 13.842 | Rangers | 97 | 46 | 641 | |
| 1951-52 | Rangers | 10.553 | Falkirk | 87 | 46 | 647 | |
| 1950-51 | Hibernian | 18.577 | = | 108 | 40 | 637 | |
| 1949-50 | Rangers | 13.927 | = | 104 | 40 | 637 | |
| 1948-49 | Rangers | 17.85 | = | 101 | 40 | 630 | |
| 1947-48 | Rangers | 17.521 | East Fife | 110 | 44 | 629 | |
| 1946-47 | Rangers | 14.202 | = | 99 | 36 | 558 | |
| 1938-39 | Rangers | 13.337 | Cowdenbeath | 92 | 54 | 748 | |
| 1937-38 | Raith Rovers | 13.024 | = | 96 | 54 | 751 | |
| 1936-37 | Rangers | 14.274 | Celtic | 94 | 54 | 748 | |
| 1935-36 | Celtic | 17.484 | Rangers | 106 | 53 | 747 | |
| 1934-35 | Rangers | 13.075 | = | 99 | 54 | 749 | |
| 1933-34 | Rangers | 23.666 | = | 115 | 54 | 746 | |
| 1932-33 | Rangers | 14.152 | Motherwell | 102 | 48 | 748 | |
| 1931-32 | Motherwell | 21.779 | Rangers | 108 | 48 | 815 | |
| 1930-31 | Celtic | 13.085 | = | 101 | 65 | 835 | |
| 1929-30 | Rangers | 16.89 | = | 108 | 65 | 839 | |
| 1928-29 | Rangers | 30.593 | = | 112 | 64 | 793 | |
| 1927-28 | Rangers | 18.626 | = | 104 | 64 | 828 | |
| 1926-27 | Rangers | 9.475 | Celtic | 89 | 64 | 833 | |
| 1925-26 | Celtic | 12.726 | = | 98 | 69 | 1056 | |
| 1924-25 | Rangers | 15.048 | = | 97 | 68 | 1077 | |
| 1923-24 | Rangers | 13.053 | Airdrieonians | 91 | 72 | 1083 | |
| 1922-23 | Rangers | 8.852 | Queen's Park | 88 | 65 | 836 | |
| 1921-22 | Celtic | 14.094 | Rangers | 111 | 65 | 919 | |
| 1920-21 | Rangers | 29.304 | = | 124 | 45 | 531 | |
| 1919-20 | Rangers | 19.785 | = | 117 | 49 | 522 | |
| 1918-19 | Rangers | 23.43 | Celtic | 84 | 18 | 306 | |
| 1917-18 | Celtic | 20.764 | Rangers | 81 | 18 | 306 | |
| 1916-17 | Celtic | 22.757 | = | 91 | 20 | 380 | |
| 1915-16 | Celtic | 24.326 | = | 99 | 20 | 379 | |
| 1914-15 | Celtic | 12.319 | = | 95 | 34 | 565 | |
| 1913-14 | Celtic | 22.467 | = | 112 | 42 | 553 | |
| 1912-13 | Rangers | 12.068 | = | 81 | 40 | 533 | |
| 1911-12 | Rangers | 14.114 | = | 78 | 39 | 477 | |
| 1910-11 | Rangers | 13.317 | = | 81 | 42 | 474 | |
| 1909-10 | Falkirk | 15.945 | Celtic | 87 | 41 | 481 | |
| 1908-09 | Celtic | 15.063 | = | 89 | 39 | 479 | |
| 1907-08 | Celtic | 23.33 | = | 94 | 40 | 477 | |
| 1906-07 | Celtic | 18.563 | = | 97 | 40 | 486 | |
| 1905-06 | Celtic | 19.106 | = | 79 | 40 | 413 | |
| 1904-05 | Celtic | 21.127 | Rangers | 73 | 40 | 351 | |
| 1903-04 | Third Lanark | 20.659 | Celtic | 70 | 36 | 353 | |
| 1902-03 | Hibernian | 24.802 | = | 61 | 35 | 303 | |
| 1901-02 | Rangers | 27.084 | Port Glasgow Ath | 50 | 35 | 258 | |
| 1900-01 | Rangers | 28.798 | Celtic | 54 | 34 | 240 | |
| 1899-00 | Rangers | 36.932 | = | 57 | 34 | 216 | |
| 1898-99 | Rangers | 68.257 | = | 66 | 37 | 216 | |
| 1897-98 | Celtic | 39.991 | Rangers | 59 | 37 | 215 | |
| 1896-97 | Rangers | 22.96 | = | 51 | 35 | 216 | |
| 1895-96 | Celtic | 18.082 | Heart of Midlothian | 48 | 36 | 214 | |
| 1894-95 | Heart of Midlothian | 31.536 | = | 56 | 37 | 219 | |
| 1893-94 | Celtic | 28.366 | = | 55 | 38 | 216 | |
| 1892-93 | Celtic | 36.532 | = | 58 | 32 | 128 | |
| 1891-92 | Celtic | 30.545 | = | 69 | 32 | 171 | |
| 1890-91 | Dumbarton | 28.663 | = | 64 | 149 | 252 | |
| 1889-90 | Queen's Park | 69.576 | = | 26 | 148 | 171 | |
| 1888-89 | Third Lanark | 84.564 | = | 32 | 149 | 170 | |
| 1887-88 | Renton | 96.241 | = | 24 | 133 | 152 | |
| 1886-87 | Hibernian | 90.248 | = | 22 | 121 | 135 | |
| 1885-86 | Queen's Park | 95.378 | Third Lanark | 21 | 119 | 143 | |
| 1884-85 | Renton | 75.85 | = | 22 | 121 | 144 | |
| 1883-84 | Vale of Leven | 50.683 | = | 19 | 115 | 124 | |
| 1882-83 | Dumbarton | 68.452 | = | 22 | 96 | 115 | |
| 1881-82 | Queen's Park | 70.325 | = | 23 | 99 | 114 | |
| 1880-81 | Queen's Park | 81.319 | = | 24 | 91 | 88 | |
| 1879-80 | Queen's Park | 70.275 | = | 22 | 79 | 81 | |
| 1878-79 | Vale of Leven | 38.209 | = | 22 | 67 | 64 | |
| 1877-78 | Vale of Leven | 56.97 | = | 20 | 66 | 68 | |
| 1876-77 | Vale of Leven | 41.827 | = | 20 | 52 | 49 | |
| 1875-76 | Queen's Park | 66.176 | = | 19 | 34 | 40 | |
| 1874-75 | Queen's Park | 51.282 | = | 14 | 21 | 22 | |
| 1873-74 | Queen's Park | 83.333 | = | 12 | 12 | 12 |
1Listed where different from eigenchampion. T = Teams, M = Matches.