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Round 5
6 July 1964
| Cassidy (3½) |
(1-0) |
Wilson (3½) |
| Reilly (2½) |
0-1 |
Heidenfeld (3½) |
| Lewis, W. (2½) |
(½-½) |
Byrne (3) |
| Coll (2) |
(½-½) |
O'Riordan (2½) |
| Lewis, E. W. (2) |
(1-0) |
Ballance (2½) |
| Ireton (2) |
(1-0) |
Cunnane (2) |
| O'Hare (2) |
(0-1) |
O'Kane (2) |
| Cox (2) |
(1-0) |
Collins (1½) |
| O'Leary (1½) |
(1-0) |
Doyle (1) |
| Egan (1) |
(1-0) |
Stewart (1) |
| Ó Siochrú (½) |
1 |
Bye |
Scores after round 5
| Cassidy | 4½ |
| Heidenfeld | 4½ |
| Byrne | 3½ |
| Wilson | 3½ |
| Cox | 3 |
| Ireton | 3 |
| Lewis, E. W. | 3 |
| Lewis, W. | 3 |
| O'Kane | 3 |
| O'Riordan | 3 |
| Ballance | 2½ |
| Coll | 2½ |
| O'Leary | 2½ |
| Reilly | 2½ |
| Cunnane | 2 |
| Egan | 2 |
| O'Hare | 2 |
| Collins | 1½ |
| Ó Siochrú | 1½ |
| Doyle | 1 |
| Stewart | 1 |