| 1 | Sun 4 Aug 2019 | 2-1 v KilmarnockKilmarnock 1-2 Rangers | Ladbrokes Premiership |
| 2 | Sun 11 Aug 2019 | 6-1 v HibernianRangers 6-1 Hibernian | Ladbrokes Premiership |
| 3 | Thu 15 Aug 2019 | 3-1 v FC MidtjyllandRangers 3-1 FC Midtjylland | Europa League Third Qualifying Round |
| 4 | Thu 22 Aug 2019 | 0-0 v Legia WarsawLegia Warsaw 0-0 Rangers | Europa League Qualifying Play-off Round |
| 5 | Sun 25 Aug 2019 | 1-0 v St MirrenSt Mirren 0-1 Rangers | Ladbrokes Premiership |
| 6 | Thu 29 Aug 2019 | 1-0 v Legia WarsawRangers 1-0 Legia Warsaw | Europa League Qualifying Play-off Round |
| 7 | Sun 1 Sep 2019 | 0-2 v CelticRangers 0-2 Celtic | Ladbrokes Premiership |
| 8 | Sat 14 Sep 2019 | 3-1 v LivingstonRangers 3-1 Livingston | Ladbrokes Premiership |
| 9 | Thu 19 Sep 2019 | 1-0 v FeyenoordRangers 1-0 Feyenoord | Europa League Group G |
| 10 | Sun 22 Sep 2019 | 4-0 v St JohnstoneSt Johnstone 0-4 Rangers | Ladbrokes Premiership |
| 11 | Sat 28 Sep 2019 | 5-0 v AberdeenRangers 5-0 Aberdeen | Ladbrokes Premiership |
| 12 | Thu 3 Oct 2019 | 1-2 v Young BoysYoung Boys 2-1 Rangers | Europa League Group G |
| 13 | Sun 6 Oct 2019 | 5-0 v Hamilton AcademicalRangers 5-0 Hamilton Academical | Ladbrokes Premiership |
| 14 | Sun 20 Oct 2019 | 1-1 v Heart of MidlothianHeart of Midlothian 1-1 Rangers | Ladbrokes Premiership |
| 15 | Thu 24 Oct 2019 | 1-1 v FC PortoFC Porto 1-1 Rangers | Europa League Group G |
| 16 | Sun 27 Oct 2019 | 2-1 v MotherwellRangers 2-1 Motherwell | Ladbrokes Premiership |
| 17 | Sun 3 Nov 2019 | 3-0 v Heart of MidlothianRangers 3-0 Heart of Midlothian | Betfred Cup Semi Final |
| 18 | Thu 7 Nov 2019 | 2-0 v FC PortoRangers 2-0 FC Porto | Europa League Group G |
| 19 | Sun 24 Nov 2019 | 3-1 v Hamilton AcademicalHamilton Academical 1-3 Rangers | Ladbrokes Premiership |
| 20 | Thu 28 Nov 2019 | 2-2 v FeyenoordFeyenoord 2-2 Rangers | Europa League Group G |
| 21 | Sun 1 Dec 2019 | 5-0 v Heart of MidlothianRangers 5-0 Heart of Midlothian | Ladbrokes Premiership |
| 22 | Wed 4 Dec 2019 | 2-2 v AberdeenAberdeen 2-2 Rangers | Ladbrokes Premiership |
| 23 | Thu 26 Dec 2019 | 1-0 v KilmarnockRangers 1-0 Kilmarnock | Ladbrokes Premiership |
| 24 | Sun 29 Dec 2019 | 2-1 v CelticCeltic 1-2 Rangers | Ladbrokes Premiership |
| 25 | Fri 17 Jan 2020 | 2-0 v StranraerRangers 2-0 Stranraer | William Hill Scottish Cup Fourth Round |
| 26 | Wed 22 Jan 2020 | 1-0 v St MirrenRangers 1-0 St Mirren | Ladbrokes Premiership |
| 27 | Sun 26 Jan 2020 | 1-2 v Heart of MidlothianHeart of Midlothian 2-1 Rangers | Ladbrokes Premiership |
| 28 | Wed 29 Jan 2020 | 2-0 v Ross CountyRangers 2-0 Ross County | Ladbrokes Premiership |
| 29 | Sat 1 Feb 2020 | 0-0 v AberdeenRangers 0-0 Aberdeen | Ladbrokes Premiership |
| 30 | Wed 5 Feb 2020 | 2-1 v HibernianRangers 2-1 Hibernian | Ladbrokes Premiership |
| 31 | Sun 16 Feb 2020 | 1-0 v LivingstonRangers 1-0 Livingston | Ladbrokes Premiership |
| 32 | Thu 20 Feb 2020 | 3-2 v Sporting BragaRangers 3-2 Sporting Braga | Europa League Round of 32 |
| 33 | Sun 23 Feb 2020 | 2-2 v St JohnstoneSt Johnstone 2-2 Rangers | Ladbrokes Premiership |
| 34 | Wed 26 Feb 2020 | 1-0 v Sporting BragaSporting Braga 0-1 Rangers | Europa League Round of 32 |
| 35 | Sat 29 Feb 2020 | 0-1 v Heart of MidlothianHeart of Midlothian 1-0 Rangers | William Hill Scottish Cup Quarter Final |
| 36 | Wed 4 Mar 2020 | 0-1 v Hamilton AcademicalRangers 0-1 Hamilton Academical | Ladbrokes Premiership |
| 37 | Sun 8 Mar 2020 | 1-0 v Ross CountyRoss County 0-1 Rangers | Ladbrokes Premiership |
| 38 | Thu 12 Mar 2020 | 1-3 v Bayer 04 LeverkusenRangers 1-3 Bayer 04 Leverkusen | Europa League Round of 16 |
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