- Scottish Cup: 35
- European Cup: 1
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- 2003 (runners-up)
Minor and special honours
- Glasgow Cup: 31 (Contested by under 18 youth teams from 2008)
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- 1891, 1892, 1895, 1896, 1905, 1906, 1907, 1908, 1910, 1916, 1917, 1920, 1921, 1927, 1928, 1929, 1931, 1939, 1941, 1949, 1956, 1962, 1964, 1965, 1967, 1968, 1970, 1975*, 1982, 2008, 2011
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- 1902
-
- 1914
-
- 1918
-
- 1938
-
- 1945
-
- 1951
-
- 1953
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- 1967
-
- 1968
-
- 1970
-
- 1974
-
- 2009
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- 1977
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- 1981
- Dubai Gold Cup: 1
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- 1989
- Wembley Cup: 1
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- 2009
-
- 2010
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- 2008, 2009
Youth honours
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- 1984, 1987, 1989, 1996, 1997, 1999, 2003, 2005, 2006, 2010, 2011
- Under 18 Scottish Premier League: 2
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- 2000, 2003
- Under 19 Scottish Premier League: 5
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- 2004, 2005, 2006, 2010, 2011
- Under 21 Scottish Premier League: 3
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- 2002, 2003, 2004
- Reserve Scottish Premier League: 8
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- 2002, 2003, 2004, 2005, 2006, 2007, 2008, 2009
Other awards
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- 1967
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- 1970
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- 2003 (awarded to the fans of Celtic FC)
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- 1
* 1975 trophy shared with Rangers after a 2–2 draw