| 1 | 14/7/2018 | 1-3 v Ayr UnitedAyr United 3-1 Greenock Morton | Betfred Cup Group E |
| 2 | 17/7/2018 | 1-2 v Partick ThistlePartick Thistle 2-1 Greenock Morton | Betfred Cup Group E |
| 3 | 21/7/2018 | 2-0 v StenhousemuirGreenock Morton 2-0 Stenhousemuir | Betfred Cup Group E |
| 4 | 11/8/2018 | 82-0 v Alloa AthleticAlloa Athletic 0-2 Greenock Morton | Ladbrokes Championship |
| 5 | 25/8/2018 | 82-1 v Ross CountyGreenock Morton 2-1 Ross County | Ladbrokes Championship |
| 6 | 1/9/2018 | 8 0-1 v Partick ThistlePartick Thistle 1-0 Greenock Morton | Ladbrokes Championship |
| 7 | 15/9/2018 | 81-1 v Dundee UnitedDundee United 1-1 Greenock Morton | Ladbrokes Championship |
| 8 | 22/9/2018 | 81-1 v Dunfermline AthleticGreenock Morton 1-1 Dunfermline Athletic | Ladbrokes Championship |
| 9 | 29/9/2018 | 81-5 v Ayr UnitedGreenock Morton 1-5 Ayr United | Ladbrokes Championship |
| 10 | 6/10/2018 | 81-1 v Inverness Caledonian ThistleInverness Caledonian Thistle 1-1 Greenock Morton | Ladbrokes Championship |
| 11 | 20/10/2018 | 81-0 v FalkirkGreenock Morton 1-0 Falkirk | Ladbrokes Championship |
| 12 | 27/10/2018 | 80-5 v Ross CountyRoss County 5-0 Greenock Morton | Ladbrokes Championship |
| 13 | 30/10/2018 | 82-1 v Queen of the SouthQueen of the South 1-2 Greenock Morton | Ladbrokes Championship |
| 14 | 3/11/2018 | 85-1 v Partick ThistleGreenock Morton 5-1 Partick Thistle | Ladbrokes Championship |
| 15 | 10/11/2018 | 80-2 v Alloa AthleticGreenock Morton 0-2 Alloa Athletic | Ladbrokes Championship |
| 16 | 17/11/2018 | 80-0 v Ayr UnitedAyr United 0-0 Greenock Morton | Ladbrokes Championship |
| 17 | 24/11/2018 | 81-1 v PeterheadGreenock Morton 1-1 Peterhead | William Hill Scottish Cup Third Round |
| 18 | 27/11/2018 | 83-0 v PeterheadPeterhead 0-3 Greenock Morton | William Hill Scottish Cup Third Round Replay |
| 19 | 1/12/2018 | 80-3 v Dunfermline AthleticDunfermline Athletic 3-0 Greenock Morton | Ladbrokes Championship |
| 20 | 8/12/2018 | 81-1 v Dundee UnitedGreenock Morton 1-1 Dundee United | Ladbrokes Championship |
| 21 | 15/12/2018 | 80-0 v FalkirkFalkirk 0-0 Greenock Morton | Ladbrokes Championship |
| 22 | 22/12/2018 | 81-2 v Inverness Caledonian ThistleGreenock Morton 1-2 Inverness Caledonian Thistle | Ladbrokes Championship |
| 23 | 29/12/2018 | 82-1 v Partick ThistlePartick Thistle 1-2 Greenock Morton | Ladbrokes Championship |
| 24 | 4/1/2019 | 81-0 v Ross CountyGreenock Morton 1-0 Ross County | Ladbrokes Championship |
| 25 | 12/1/2019 | 81-2 v Alloa AthleticAlloa Athletic 2-1 Greenock Morton | Ladbrokes Championship |
| 26 | 26/1/2019 | 80-0 v Dunfermline AthleticGreenock Morton 0-0 Dunfermline Athletic | Ladbrokes Championship |
| 27 | 2/2/2019 | 81-2 v Dundee UnitedDundee United 2-1 Greenock Morton | Ladbrokes Championship |
| 28 | 16/2/2019 | 80-0 v Ayr UnitedGreenock Morton 0-0 Ayr United | Ladbrokes Championship |
| 29 | 23/2/2019 | 80-1 v Inverness Caledonian ThistleInverness Caledonian Thistle 1-0 Greenock Morton | Ladbrokes Championship |
| 30 | 26/2/2019 | 81-0 v Queen of the SouthGreenock Morton 1-0 Queen of the South | Ladbrokes Championship |
| 31 | 30/3/2019 | 8 0-3 v Partick ThistleGreenock Morton 0-3 Partick Thistle | Ladbrokes Championship |
| 32 | 2/4/2019 | 81-1 v Ayr UnitedAyr United 1-1 Greenock Morton | Ladbrokes Championship |
| 33 | 6/4/2019 | 81-1 v Queen of the SouthQueen of the South 1-1 Greenock Morton | Ladbrokes Championship |
| 34 | 9/4/2019 | 81-2 v Alloa AthleticGreenock Morton 1-2 Alloa Athletic | Ladbrokes Championship |
| 35 | 16/4/2019 | 82-2 v Inverness Caledonian ThistleGreenock Morton 2-2 Inverness Caledonian Thistle | Ladbrokes Championship |
| 36 | 20/4/2019 | 82-0 v FalkirkFalkirk 0-2 Greenock Morton | Ladbrokes Championship |
| 37 | 27/4/2019 | 8 1-0 v Dunfermline AthleticDunfermline Athletic 0-1 Greenock Morton | Ladbrokes Championship |
