Season 1980-81Rangers
 First Round
Dec13  1-1  Alloa Athletic v Stenhousemuir
Dec17  3-2  Stenhousemuir v Alloa Athletic a.e.t. 2-2
Dec13  2-1  Brechin City v Keith
Dec13  2-1  East Fife v Civil Service Strollers
Dec13  2-2  Meadowbank Thistle v Buckie Thistle
Dec20  3-2  Buckie Thistle v Meadowbank Thistle
Dec13  2-2  Queen’s Park v Montrose
Dec17  2-0  Montrose v Queen’s Park
Dec13  1-1  Whitehill Welfare v Hawick Royal Albert
Dec17  4-1  Hawick Royal Albert v Whitehill Welfare
 Second Round
Jan03  0-0  Stenhousemuir v Spartans
Jan07  1-2  Spartans v Stenhousemuir  at Easter Road
Jan03  0-2  Forfar Athletic v Brechin City
Jan10  1-2  Queen of the South v East Fife
Jan03  2-2  Stranraer v Buckie Thistle
Jan10  3-2  Buckie Thistle v Stranraer
Jan12  1-1  Albion Rovers v Arbroath
Jan14  1-0  Arbroath v Albion Rovers
Jan03  2-0  Inverness Thistle v Montrose
Jan03  2-2  Hawick Royal Albert v Cowdenbeath
Jan12  3-0  Cowdenbeath v Hawick Royal Albert
Jan03  1-5  Rothes v Clyde
 Third Round
Jan24  1-1  Arbroath v Cowdenbeath
Jan28  4-0  Cowdenbeath v Arbroath
Jan24  1-2  Raith Rovers v Aberdeen
Jan24  0-0  East Fife v Clydebank
Jan28  5-4  Clydebank v East Fife a.e.t. 3-3
Jan24  2-2  Partick Thistle v Clyde
Jan28  2-4  Clyde v Partick Thistle
Jan24  1-1  Stenhousemuir v Motherwell
Jan28  2-1  Motherwell v Stenhousemuir
Jan24  0-3  Hamilton Academical v St Johnstone
Jan24  1-3  Buckie Thistle v Stirling Albion
Jan24  1-2  Brechin City v Dundee United
Jan24  1-0  Falkirk v Dundee
Jan24  4-1  East Stirlingshire v Inverness Thistle
Jan24  0-2  St Mirren v Dumbarton
Jan24  0-5  Airdrieonians v Rangers
Jan24  0-0  Greenock Morton v Heart of Midlothian
Jan28  1-3  Heart of Midlothian v Greenock Morton
Jan24  2-1  Kilmarnock v Ayr United
Jan24  0-2  Berwick Rangers v Celtic
Jan24  1-1  Hibernian v Dunfermline Athletic
Jan28  1-2  Dunfermline Athletic v Hibernian a.e.t. 1-1
 Fourth Round
Feb14  3-0  Celtic v Stirling Albion
Feb14  1-0  Hibernian v Falkirk
Feb14  1-0  Greenock Morton v Aberdeen
Feb14  1-0  Dundee United v Partick Thistle
Feb14  1-2  Cowdenbeath v East Stirlingshire
Feb14  3-3  St Johnstone v Rangers
Feb18  3-1  Rangers v St Johnstone
Feb14  2-1  Motherwell v Dumbarton
Feb14  0-0  Kilmarnock v Clydebank
Feb17  1-1  Clydebank v Kilmarnock a.e.t. 1-1
Feb23  0-1  Kilmarnock v Clydebank  at Love Street
 Fifth Round
Mar07  3-1  Rangers v Hibernian
Mar11  0-0  Greenock Morton v Clydebank
Mar16  0-6  Clydebank v Greenock Morton
Mar07  6-1  Dundee United v Motherwell
Mar08  2-0  Celtic v East Stirlingshire
 Semi-finals
Apr11  0-0  Celtic v Dundee United  at Hampden Park
Apr15  2-3  Celtic v Dundee United  at Hampden Park
Apr11  2-1  Rangers v Greenock Morton  at Celtic Park
 Final
May09  0-0  Dundee United v Rangers  at Hampden Park a.e.t. 0-0
May12  1-4  Dundee United v Rangers  at Hampden Park