| Saturday, 18/03/1972 | Cockburn United - Floreat Athena | 0:0 | ||||||
| Saturday, 25/03/1972 | Macedonia United - Cockburn United | 2:0 | ||||||
| Saturday, 01/04/1972 | Cockburn United - Stirling City | 1:2 | ||||||
| Saturday, 08/04/1972 | Gosnells Town - Cockburn United | 2:2 | ||||||
| Saturday, 15/04/1972 | Cockburn United - South Perth | 2:3 | ||||||
| Saturday, 22/04/1972 | Rockingham United - Cockburn United | 4:7 | ||||||
| Saturday, 29/04/1972 | Cockburn United - Queens Park | 2:0 | ||||||
| Saturday, 06/05/1972 | Fremantle Dalmatinac - Cockburn United | 3:5 | ||||||
| Saturday, 20/05/1972 | Caledonian - Cockburn United | 2:3 | ||||||
| Saturday, 27/05/1972 | Cockburn United - Melville Alemannia | 1:2 | ||||||
| Saturday, 03/06/1972 | Perth City - Cockburn United | 3:3 | ||||||
| Saturday, 10/06/1972 | Cockburn United - Swan Athletic | 4:4 | ||||||
| Saturday, 17/06/1972 | Floreat Athena - Cockburn United | 2:4 | ||||||
| Saturday, 24/06/1972 | Cockburn United - Macedonia United | 4:3 | ||||||
| Saturday, 01/07/1972 | Stirling City - Cockburn United | 1:2 | ||||||
| Saturday, 08/07/1972 | Cockburn United - Gosnells Town | 2:5 | ||||||
| Saturday, 15/07/1972 | South Perth - Cockburn United | 0:1 | ||||||
| Saturday, 22/07/1972 | Cockburn United - Rockingham United | 1:1 | ||||||
| Saturday, 29/07/1972 | Queens Park - Cockburn United | 3:4 | ||||||
| Saturday, 05/08/1972 | Cockburn United - Fremantle Dalmatinac | 1:2 | ||||||
| Saturday, 12/08/1972 | University of West Australia - Cockburn United | 2:2 | ||||||
| Saturday, 19/08/1972 | Cockburn United - Caledonian | 5:1 | ||||||
| Saturday, 26/08/1972 | Melville Alemannia - Cockburn United | 2:1 | ||||||
| Saturday, 02/09/1972 | Cockburn United - Perth City | 5:3 | ||||||
| Saturday, 09/09/1972 | Swan Athletic - Cockburn United | 1:2 | ||||||
| Cockburn United - University of West Australia |