Season 1962-63Rangers
 First Round
Jan12  1-5  Inverness Caledonian v Dundee
Jan26  2-0  East Stirlingshire v Stirling Albion
Jan12  1-3  Forfar Athletic v Heart of Midlothian
Mar07  1-0  St Johnstone v Stenhousemuir
Mar11  3-0  Airdrieonians v Stranraer
Jan12  2-0  Raith Rovers v Eyemouth United
Jan26  3-2  Partick Thistle v Greenock Morton
Jan12  2-0  Arbroath v Dumbarton
Jan28  0-2  Falkirk v Celtic
Jan26  3-0  Dundee United v Albion Rovers
Jan12  5-0  East Fife v Edinburgh University
Jan19  4-0  Gala Fairydean v Keith
Jan12  0-2  Inverness Thistle v Queen of the South
 Second Round
Jan26  3-2  Raith Rovers v Clyde
Mar11  2-3  Cowdenbeath v Dunfermline Athletic
Mar13  0-6  Airdrieonians v Rangers
Feb04  1-1  East Fife v Third Lanark
Mar06  0-2  Third Lanark v East Fife a.e.t. 0-0
Jan26  5-1  Queen’s Park v Alloa Athletic
Feb04  8-0  Dundee v Montrose
Mar04  1-1  Partick Thistle v Arbroath
Mar13  2-2  Arbroath v Partick Thistle a.e.t. 2-2
Mar14  2-3  Arbroath v Partick Thistle  at Gayfield Park
Jan26  0-0  Kilmarnock v Queen of the South
Mar11  1-0  Queen of the South v Kilmarnock
Jan26  1-1  Hamilton Academical v Nairn County
Jan30  1-2  Nairn County v Hamilton Academical
Mar13  1-2  St Johnstone v Aberdeen
Jan26  0-2  Brechin City v Hibernian
Jan26  1-3  Berwick Rangers v St Mirren
Mar06  3-1  Celtic v Heart of Midlothian
Jan26  1-1  Gala Fairydean v Duns
Mar11  1-2  Duns v Gala Fairydean
Mar06  1-0  East Stirlingshire v Motherwell
Feb02  1-2  Ayr United v Dundee United
 Third Round
Mar13  0-1  Third Lanark v Raith Rovers
Mar20  3-0  Queen of the South v Hamilton Academical
Mar18  1-0  Dundee v Hibernian
Mar13  6-0  Celtic v Gala Fairydean
Mar11  1-1  Queen’s Park v Dundee United
Mar20  3-1  Dundee United v Queen’s Park
Mar20  7-2  Rangers v East Stirlingshire
Mar20  4-0  Aberdeen v Dunfermline Athletic
Mar19  1-1  St Mirren v Partick Thistle
Mar25  0-1  Partick Thistle v St Mirren
 Fourth Round
Mar29  1-1  Dundee United v Queen of the South
Apr03  1-1  Queen of the South v Dundee United a.e.t. 1-1
Apr08  4-0  Dundee United v Queen of the South  at Ibrox Park
Mar30  1-1  Dundee v Rangers
Apr03  3-2  Rangers v Dundee
Mar30  0-1  St Mirren v Celtic
Mar30  2-1  Raith Rovers v Aberdeen
 Semi-finals
Apr13  2-5  Raith Rovers v Celtic  at Ibrox Park
Apr13  5-2  Rangers v Dundee United  at Hampden Park
 Final
May04  1-1  Celtic v Rangers  at Hampden Park
May15  0-3  Celtic v Rangers  at Hampden Park