| Season Review | Matches: 1960 – 1961 | 1960-1961 Pictures |
Appearances (Goals in brackets)
* – left Celtic during season 1960/61
† – left Celtic at the end of season 1960/61
| League | League Cup | Scottish Cup | Total | |
| Haffey | 29 | 3 | 8 | 40 |
| Fallon | 4 | 3 | 0 | 7 |
| Goldie | 1 | 0 | 0 | 1 |
| Donnelly | 1 | 0 | 0 | 1 |
| Kennedy | 32 | 6 | 7 | 45 |
| Curran | 1 | 0 | 0 | 1 |
| Mochan* | 2 (1) | 6 (1) | 0 | 8 (2) |
| MacKay | 32 | 6 | 8 | 46 |
| McNamee | 1 | 0 | 0 | 1 |
| O'Neill | 2 | 0 | 1 | 3 |
| Crerand | 31 (2) | 6 | 8 | 45 |
| Kelly | 3 | 0 | 0 | 3 |
| McNeill | 31 (1) | 4 | 8 | 43 (1) |
| Kurila | 3 | 2 | 0 | 5 |
| Peacock | 24 (4) | 6 | 4 (2) | 34 (6) |
| Clark | 10 | 0 | 4 (1) | 14 (1) |
| Carroll | 17 (6) | 5 (2) | 0 | 22 (8) |
| Chalmers | 32 (20) | 6 (1) | 7 (5) | 45 (26) |
| Gallacher | 15 (3) | 0 | 8 | 23 (3) |
| Fernie | 22 (6) | 0 | 7 (2) | 29 (8) |
| Jackson | 1 | 0 | 0 | 1 |
| Conway* | 7 (1) | 1 | 0 | 8 |
| Hughes | 19 (4) | 6 (5) | 8 (5) | 33 (14) |
| Divers | 23 (8) | 6 (2) | 2 | 31 (10) |
| Auld* | 15 (4) | 0 | 1 | 16 (4) |
| Byrne | 16 (4) | 0 | 7 (1) | 23 (5) |
| own goals | 0 | 0 | (3) |