| Season Review | Matches: 1961 – 1962 | 1961-1962 Pictures |
Appearances (Goals in brackets)
* – left Celtic during season 1961/62
† – left Celtic at the end of season 1961/62
| League | League Cup | Scottish Cup | Total | |
| Haffey | 32 | 0 | 6 | 38 |
| Connor | 2 | 6 | 0 | 8 |
| Donnelly † | 3 | 1 | 0 | 4 |
| Kennedy | 32 | 6 | 6 | 44 |
| MacKay | 32 | 5 | 6 | 43 |
| Clark | 12 | 5 | 3 | 20 |
| McNamee | 5 | 0 | 0 | 5 |
| O'Neill | 2 | 0 | 0 | 2 |
| Fernie * | 3 (1) | 4 | 0 | 7 (1) |
| McNeill | 29 (1) | 6 | 6 | 41 (1) |
| Kurila † | 0 | 2 | 0 | 2 |
| Crerand | 31 (2) | 1 | 6 (1) | 38 (3) |
| Carroll | 28 (12) | 5 (1) | 4 (1) | 37 (14) |
| Chalmers | 31 (12) | 6 (1) | 6 (6) | 43 (19) |
| Gallacher | 1 | 0 | 0 | 1 |
| Price | 23 | 2 | 3 | 28 |
| Jackson | 24 (11) | 5 (2) | 3 (2) | 32 (15) |
| Divers | 34 (19) | 6 (2) | 6 (4) | 46 (25) |
| Byrne | 8 | 0 | 2 (1) | 10 (1) |
| Hughes | 31 (18) | 6 (4) | 6 (5) | 43 (27) |
| Brogan | 10 (4) | 0 | 3 (1) | 13 (5) |
| Lennox | 1 | 0 | 0 | 1 |
| own goals | (1) | (1) |