| Club: | Celtic |
| Season: | 1980–81 |
| Manager: | Billy McNeil |
| Chairman: | Desmond White |
| Stadium: | Celtic Park |
| League: | Scottish Premier Division |
| League Result: | 1st |
| Cup1: | Scottish Cup |
| Cup1 Result: | Semi-final |
| Cup2: | Scottish League Cup |
| Cup2 Result: | Semi-final |
| Cup3: | European Cup |
| Cup3 Result: | 1st round |
| Cup4: | Drybrough Cup |
| Cup4 Result: | 1st round |
| League Topscorer: | Frank McGarvey 23 |
| Season Topscorer: | Frank McGarvey 29 |
| Highest Attendance: | 54,862 |
| Lowest Attendance: | 11,856 |
| Average Attendance: | 22,836[1] |
| Prevseason: | 1979–80 |
| Nextseason: | 1981–82 |
During the 1980–81 Scottish football season, Celtic competed in the Scottish Premier Division.
See main article: 1980–81 Scottish Premier Division.
See main article: 1980–81 Scottish Cup.
See main article: 1980–81 Scottish League Cup.
See main article: 1980–81 European Cup Winners' Cup.
| Chairman | Desmond White | |
| Secretary | Desmond White | |
| Directors | Thomas DevlinJames Farrell Kevin Kelly |
| Manager | Billy McNeill | |
| Assistant manager | John Clark | |
| Reserve Team Manager | Bobby Lennox | |
| Reserve Coach | Jimmy Lumsden | |
| Physio | Brian Scott | |
| Masseur | Jimmy Steele | |
| Kitman | Neil Mochan |
| June 1980 | Vic Davidson | Phoenix Inferno | Free Transfer | |
| November 1980 | Jim Casey (footballer) | Phoenix Inferno | Free Transfer | |
| January 1981 | Alan Sneddon | Hibernian F.C. | £60,000 | |
| Total Transfer Fees | £60,000 |
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