| 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 |