Home League Scoring Records
| Description | Record | Detail, dates link to results |
| Highest scoring win | 10 |
Rangers 10 Hibernian 0, 24.12.1898 Rangers 10 Raith Rovers 2, 16.12.1967 |
| Highest scoring loss | 5 |
Rangers 1 Clyde 5, 24.10.1891 Rangers 2 Hibernian 5, 29.09.1902 Rangers 0 Heart of Midlothian 5, 25.09.1905 Rangers 1 Morton 5, 22.10.1910 Rangers 0 Airdrieonians 5, 04.01.1915 Rangers 1 Dundee 5, 11.11.1961 |
| Highest winning margin | 10 | Rangers 10 Hibernian 0, 24.12.1898 |
| Highest losing margin | 5 |
Rangers 0 Heart of Midlothian 5, 25.09.1905 Rangers 0 Airdrieonians 5, 04.01.1915 |
| Highest aggregate | 12 | Rangers 10 Raith Rovers 2, 16.12.1967 |
| Highest scoring draw | 4 |
Rangers 4 Clyde 4, 09.11.1895 Rangers 4 Hamilton Academical 4, 17.12.1932 Rangers 4 Heart of Midlothian 4, 11.03.1933 Rangers 4 Airdrieonians 4, 08.10.1955 Rangers 4 Raith Rovers 4, 18.10.1958 Rangers 4 Celtic 4, 22.03.1986 |
Away League Scoring Records
| Description | Record | Detail, dates link to results |
| Highest scoring win | 9 | Abercorn 2 Rangers 9, 26.09.1896 |
| Highest scoring loss | 6 |
Dumbarton 6 Rangers 0, 04.05.1892 Celtic 6 Rangers 2, 14.12.1895 Dundee 6 Rangers 1, 05.02.1938 Celtic 6 Rangers 2, 10.09.1938 Aberdeen 6 Rangers 1, 08.04.1961 Celtic 6 Rangers 2, 27.08.2000 |
| Highest winning margin | 8 | Clyde 0 Rangers 8, 14.02.1931 |
| Highest losing margin | 6 | Dumbarton 6 Rangers 0, 04.05.1892 |
| Highest aggregate | 11 | Abercorn 2 Rangers 9, 26.09.1896 |
| Highest scoring draw | 5 | Falkirk 5 Rangers 5, 14.03.1959 |
Cup Scoring Records
| Description | Record | Detail, dates link to results |
| Highest scoring win | 14 |
Rangers 14 Whitehill 2, 29.09.1883 Rangers 14 Blairgowrie 2, 20.01.1934 |
| Highest scoring loss | 7 | Celtic 7 Rangers 1 (n), 19.10.1957 |
| Highest winning margin | 13 |
Rangers 13 Possilpark 0, 06.10.1877 Rangers 13 Uddingston 0, 10.11.1877 Kelvinside Athletic 0 Rangers 13, 28.09.1889 |
| Highest losing margin | 6 |
Aberdeen 6 Rangers 0 (n), 10.04.1954 Celtic 7 Rangers 1 (n), 19.10.1957 Real Madrid 6 Rangers 0, 09.10.1963 |
| Highest aggregate | 16 |
Rangers 14 Whitehill 2, 29.09.1883 Rangers 14 Blairgowrie 2, 20.01.1934 |
| Highest scoring draw | 4 |
Rangers 4 Third Lanark 4, 03.03.1954 Celtic 4 Rangers 4, 16.02.1957 |
Full League Sequences
| Description | Record | Detail, dates link to results |
| Wins | 22 | 20.08.1898 to 09.09.1899 |
| Draws | 5 |
26.04.1976 to 18.09.1976 28.04.1984 to 12.05.1984 |
| Losses | 5 | 15.10.1983 to 12.11.1983 |
| Clean sheets | 11 | 29.11.1986 to 24.01.1987 |
| Failing to score | 3 |
30.10.1909 to 13.11.1909 28.10.1916 to 11.11.1916 14.01.1922 to 04.02.1922 09.09.1922 to 23.09.1922 12.08.1978 to 26.08.1978 22.11.1980 to 13.12.1980 13.05.1989 to 19.08.1989 03.05.1994 to 14.05.1994 12.09.2009 to 26.09.2009 |
| w/o a Win | 6 |
16.04.1960 to 07.05.1960 12.08.1978 to 23.09.1978 22.11.1980 to 03.01.1981 15.10.1983 to 19.11.1983 15.03.1986 to 26.04.1986 26.10.2005 to 03.12.2005 |
| w/o a Draw | 24 |
21.03.1959 to 01.01.1960 10.04.1971 to 08.01.1972 |
| w/o a Loss | 38 | 26.03.1928 to 16.03.1929 |
| w/o a Clean sheet | 22 | 25.11.1925 to 10.04.1926 |
| w/o Failing to score | 62 | 20.08.1898 to 21.09.1901 |
Home League Sequences
| Description | Record | Detail, dates link to results |
| Wins | 19 | 20.03.2002 to 05.04.2003 |
| Draws | 5 | 02.01.1960 to 19.03.1960 |
| Losses | 3 |
21.09.1957 to 09.11.1957 17.04.1971 to 25.09.1971 25.03.1972 to 29.04.1972 15.09.1973 to 13.10.1973 21.09.1985 to 19.10.1985 14.03.2001 to 29.04.2001 |
| Clean sheets | 8 |
29.11.1986 to 24.01.1987 20.03.2002 to 19.10.2002 |
| Failing to score | 4 | 01.09.1973 to 13.10.1973 |
| w/o a Win | 8 | 02.01.1960 to 07.05.1960 |
| w/o a Draw | 45 | 20.03.2002 to 03.10.2004 |
| w/o a Loss | 56 | 31.10.1931 to 01.12.1934 |
| w/o a Clean sheet | 11 |
28.11.1925 to 05.04.1926 14.02.1948 to 11.12.1948 |
| w/o Failing to score | 86 | 11.12.1937 to 08.04.1950 |
Away League Sequences
| Description | Record | Detail, dates link to results |
| Wins | 15 | 18.08.1928 to 06.03.1929 |
| Draws | 4 |
26.04.1976 to 02.10.1976 04.10.1980 to 22.11.1980 10.02.1990 to 08.04.1990 15.11.1997 to 13.12.1997 |
| Losses | 4 |
25.12.1954 to 26.02.1955 11.03.1970 to 31.03.1970 07.02.1981 to 28.03.1981 15.03.1986 to 19.04.1986 |
| Clean sheets | 7 | 21.02.1976 to 26.04.1976 |
| Failing to score | 4 | 20.11.1982 to 22.01.1983 |
| w/o a Win | 15 | 12.10.1985 to 09.08.1986 |
| w/o a Draw | 30 | 26.12.2010 to 13.05.2012 |
| w/o a Loss | 45 | 11.10.1919 to 19.11.1921 |
| w/o a Clean sheet | 22 | 26.01.1895 to 20.09.1897 |
| w/o Failing to score | 40 | 27.08.1898 to 06.09.1902 |
