| 1 | Sat 14 Jul 2018 | 1-3 v Ayr UnitedAyr United 3-1 Greenock Morton | Betfred Cup Group E |
| 2 | Tue 17 Jul 2018 | 1-2 v Partick ThistlePartick Thistle 2-1 Greenock Morton | Betfred Cup Group E |
| 3 | Sat 21 Jul 2018 | 2-0 v StenhousemuirGreenock Morton 2-0 Stenhousemuir | Betfred Cup Group E |
| 4 | Sat 11 Aug 2018 | 72-0 v Alloa AthleticAlloa Athletic 0-2 Greenock Morton | Ladbrokes Championship |
| 5 | Sat 25 Aug 2018 | 72-1 v Ross CountyGreenock Morton 2-1 Ross County | Ladbrokes Championship |
| 6 | Sat 1 Sep 2018 | 70-1 v Partick ThistlePartick Thistle 1-0 Greenock Morton | Ladbrokes Championship |
| 7 | Sat 15 Sep 2018 | 71-1 v Dundee UnitedDundee United 1-1 Greenock Morton | Ladbrokes Championship |
| 8 | Sat 29 Sep 2018 | 71-5 v Ayr UnitedGreenock Morton 1-5 Ayr United | Ladbrokes Championship |
| 9 | Sat 20 Oct 2018 | 71-0 v FalkirkGreenock Morton 1-0 Falkirk | Ladbrokes Championship |
| 10 | Sat 27 Oct 2018 | 70-5 v Ross CountyRoss County 5-0 Greenock Morton | Ladbrokes Championship |
| 11 | Tue 27 Nov 2018 | 73-0 v PeterheadPeterhead 0-3 Greenock Morton | William Hill Scottish Cup Third Round Replay |
| 12 | Sat 1 Dec 2018 | 70-3 v Dunfermline AthleticDunfermline Athletic 3-0 Greenock Morton | Ladbrokes Championship |
| 13 | Sat 8 Dec 2018 | 71-1 v Dundee UnitedGreenock Morton 1-1 Dundee United | Ladbrokes Championship |
| 14 | Sat 15 Dec 2018 | 70-0 v FalkirkFalkirk 0-0 Greenock Morton | Ladbrokes Championship |
| 15 | Sat 22 Dec 2018 | 7 1-2 v Inverness Caledonian ThistleGreenock Morton 1-2 Inverness Caledonian Thistle | Ladbrokes Championship |
| 16 | Sat 29 Dec 2018 | 72-1 v Partick ThistlePartick Thistle 1-2 Greenock Morton | Ladbrokes Championship |
| 17 | Fri 4 Jan 2019 | 7 1-0 v Ross CountyGreenock Morton 1-0 Ross County | Ladbrokes Championship |
| 18 | Sat 12 Jan 2019 | 7 1-2 v Alloa AthleticAlloa Athletic 2-1 Greenock Morton | Ladbrokes Championship |
| 19 | Sat 19 Jan 2019 | 71-2 v East FifeEast Fife 2-1 Greenock Morton | William Hill Scottish Cup Fourth Round |
| 20 | Sat 26 Jan 2019 | 70-0 v Dunfermline AthleticGreenock Morton 0-0 Dunfermline Athletic | Ladbrokes Championship |
| 21 | Sat 2 Feb 2019 | 71-2 v Dundee UnitedDundee United 2-1 Greenock Morton | Ladbrokes Championship |
| 22 | Sat 16 Feb 2019 | 70-0 v Ayr UnitedGreenock Morton 0-0 Ayr United | Ladbrokes Championship |
| 23 | Sat 23 Feb 2019 | 70-1 v Inverness Caledonian ThistleInverness Caledonian Thistle 1-0 Greenock Morton | Ladbrokes Championship |
| 24 | Tue 26 Feb 2019 | 71-0 v Queen of the SouthGreenock Morton 1-0 Queen of the South | Ladbrokes Championship |
| 25 | Fri 1 Mar 2019 | 71-1 v FalkirkGreenock Morton 1-1 Falkirk | Ladbrokes Championship |
| 26 | Sat 9 Mar 2019 | 70-2 v Ross CountyRoss County 2-0 Greenock Morton | Ladbrokes Championship |
| 27 | Sat 30 Mar 2019 | 7 0-3 v Partick ThistleGreenock Morton 0-3 Partick Thistle | Ladbrokes Championship |
| 28 | Tue 2 Apr 2019 | 71-1 v Ayr UnitedAyr United 1-1 Greenock Morton | Ladbrokes Championship |
| 29 | Sat 6 Apr 2019 | 71-1 v Queen of the SouthQueen of the South 1-1 Greenock Morton | Ladbrokes Championship |
| 30 | Tue 9 Apr 2019 | 71-2 v Alloa AthleticGreenock Morton 1-2 Alloa Athletic | Ladbrokes Championship |
| 31 | Tue 16 Apr 2019 | 72-2 v Inverness Caledonian ThistleGreenock Morton 2-2 Inverness Caledonian Thistle | Ladbrokes Championship |
| 32 | Sat 20 Apr 2019 | 72-0 v FalkirkFalkirk 0-2 Greenock Morton | Ladbrokes Championship |
| 33 | Sat 27 Apr 2019 | 71-0 v Dunfermline AthleticDunfermline Athletic 0-1 Greenock Morton | Ladbrokes Championship |
| 34 | Sat 4 May 2019 | 71-0 v Dundee UnitedGreenock Morton 1-0 Dundee United | Ladbrokes Championship |
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