| Season Review | Matches: 1979 – 1980 | 1978-1979 Pictures |
Appearances (Goals in brackets)'
-' sign indicates the number of substitute appearances by that player
* – left Celtic during season 1979/80
† – left Celtic at the end of season 1979/80
| League | League Cup | Scottish Cup | European Cup | Total | |
| Latchford | 36 | 6 | 6 | 6 | 54 |
| McGrain | 34 | 6 | 6 | 6 | 52 |
| Sneddon | 32 (1) | 6 | 6 | 4 | 48 (1) |
| Lynch * | 1 | 0 | 0 | 1 | 2 |
| MacDonald | 27-2 (6) | 4-1 | 5 | 5 (2) | 41-3 (8) |
| Casey | 2-1 | 0 | 1 (1) | 0 | 3-1 (1) |
| Conroy | 13-5 (2) | 3-1 (2) | 1-1 | 2 | 19-7 (4) |
| Edvaldsson * | 5-4 (3) | 2 (1) | 1 | 1 | 9-4 (4) |
| MacLeod | 36 (7) | 6 (1) | 6 (2) | 6 | 54 (10) |
| Aitken | 35 (3) | 6 | 5 | 6 (2) | 52 (5) |
| McAdam | 34 (8) | 6 (1) | 5 (1) | 6 | 51 (10) |
| Doyle | 22-2 (7) | 4-1 (3) | 6 (4) | 3-1 (1) | 35-4 (15) |
| Sullivan | 15 (3) | 0 | 1 | 0 | 16 (3) |
| Provan | 35 (1) | 5 (2) | 6 (1) | 6 | 52 (4) |
| McGarvey | 11-1 (2) | 0 | 2 | 0 | 13-1 (2) |
| Davidson | 5 (2) | 4 | 0 | 3-1 (1) | 12-1 (3) |
| Burns | 12-3 | 0 | 1-1 | 2-1 (1) | 15-5 (1) |
| McCluskey | 22-1 (10) | 5 (1) | 3-2 (2) | 5 (2) | 35-3 (15) |
| Lennox † | 19-10 (6) | 3-3 (1) | 5-1 (3) | 4-2 | 31-16 (10) |
| own goals | 0 | 0 | 0 | 0 | 0 |