| Sat 03/08/19 | Pilkington v Cleator Moor Celtic | 0-3 | | | | | |
| Tue 06/08/19 | AFC Blackpool v Cleator Moor Celtic | 2-2 | | | | | |
| Sat 17/08/19 | St Helens Town v Cleator Moor Celtic | 6-0 | |  | | | |
| Wed 21/08/19 | Steeton v Cleator Moor Celtic | 0-1 | | | | | |
| Sat 24/08/19 | Golcar United v Cleator Moor Celtic | 1-1 |  | | | | |
| Mon 26/08/19 | Nelson v Cleator Moor Celtic | 2-0 | | | | | |
| Sat 21/09/19 | Cleator Moor Celtic v Garstang | 3-4 | | | | | |
| Sat 28/09/19 | Emley AFC v Cleator Moor Celtic | 1-1 | | | | | |
| Sat 05/10/19 | Cleator Moor Celtic v Bacup Borough | 3-2 | | | | | |
| Sat 26/10/19 | Cleator Moor Celtic v Chadderton | 4-1 | | | | | |
| Sat 02/11/19 | AFC Darwen v Cleator Moor Celtic | 0-3 | | | | | |
| Tue 05/11/19 | Cleator Moor Celtic v Crown Newlaithes | 2-1 | | | | | |
| Sat 16/11/19 | Ellesmere Rangers v Cleator Moor Celtic | 3-2 | | | | | |
| Tue 19/11/19 | Atherton LR v Cleator Moor Celtic | 2-2 | | | | | |
| Sat 23/11/19 | Cleator Moor Celtic v AFC Liverpool | 1-3 | | | | | |
| Sat 30/11/19 | Cleator Moor Celtic v Emley AFC | 2-3 | | | | | |
| Sat 07/12/19 | Cleator Moor Celtic v Daisy Hill | 3-1 | | | | | |
| Sat 21/12/19 | Cleator Moor Celtic v AFC Darwen | 1-3 | | | | | |
| Thu 26/12/19 | Holker Old Boys v Cleator Moor Celtic | 1-3 | | | | | |
| Sat 28/12/19 | Cleator Moor Celtic v Lower Breck | 3-3 | | | | | |
| Sat 04/01/20 | Chadderton v Cleator Moor Celtic | 7-0 | | | | | |
| Sat 18/01/20 | AFC Liverpool v Cleator Moor Celtic | 4-2 | | | | | |
| Tue 21/01/20 | Cleator Moor Celtic v Carlisle City | 2-2 | | | | | |
| Sat 25/01/20 | Cleator Moor Celtic v Pilkington | 2-2 | | | | | |
| Tue 04/02/20 | Cleator Moor Celtic v Ashton Town | 0-3 | | | | | |
| Sat 07/03/20 | Cleator Moor Celtic v Shelley | 3-1 | | | | | |
