| Date | Competition | Home Team | Score | Score | Away Team | Report | Pictures | Notes |
| JAN | ||||||||
| 2nd | League Division 1 | Rangers | 2 |
1 |
Celtic | Report | Pictures | |
| 7th | League Division 1 | Celtic | 2 |
3 |
Third Lanark | Report | Pictures | |
| 14th | League Division 1 | Aberdeen | 1 |
3 |
Celtic | Report | Pictures | |
| 21st | League Division 1 | Celtic | 4 |
0 |
Airdrieonians | Report | Pictures | |
| 28th | Scottish Cup |
Falkirk | 1 |
3 |
Celtic | Report | Pictures | |
| FEB | ||||||||
| 4th | League Division 1 | St Mirren | 2 |
1 |
Celtic | Report | Pictures | |
| 11th | Scottish Cup | Celtic | 6 |
0 |
Montrose | Report | Pictures | |
| 18th | League Division 1 | Celtic | 2 |
0 |
Hibernian | Report | Pictures | First team debut for John McNamee |
| 25th | Scottish Cup | Raith Rovers | 1 |
4 |
Celtic | Report | Pictures | |
| 27th | League Division 1 | Celtic | 6 |
1 |
Clyde | Report | Pictures | |
| MAR | ||||||||
| 4th | League Division 1 | Ayr United | 1 |
3 |
Celtic | Report | Pictures | |
| 11th | Scottish Cup | Celtic | 1 |
1 |
Hibernian | Report | Pictures | |
| 15th | Scottish Cup Replay |
Hibernian | 0 |
1 |
Celtic | Report | Pictures | |
| 18th | League Division 1 | Partick Thistle | 1 |
2 |
Celtic | Report | Pictures | |
| 20th | League Division 1 | Celtic | 1 |
1 |
Raith Rovers | Report | Pictures | |
| 25th | League Division 1 | Celtic | 2 |
1 |
Dunfermline Athletic | Report | Pictures | |
| APR | ||||||||
| 1st |
Scottish Cup SF |
Celtic |
4 |
0 |
Airdrieonians |
Report | Pictures | |
| 5th | League Division 1 | Celtic | 1 |
1 |
St Johnstone | Report | Pictures | |
| 8th | League Division 1 | Dundee | 0 |
1 |
Celtic | Report | Pictures | |
| 10th | League Division 1 | Dundee United | 1 |
1 |
Celtic | Report | Pictures | |
| 22nd | Scottish Cup Final |
Dunfermline Athletic | 0 |
0 |
Celtic |
Report | Pictures | |
| 26th | Scottish Cup Final Replay |
Dunfermline Athletic | 2 |
0 |
Celtic |
Report | Pictures | Cup Final Replay |
| 29th | League Division 1 | Motherwell | 2 |
2 |
Celtic | Report | Pictures | First team debut for Willie O’Neill |
| MAY | Bertie Auld and Jim Conway sold to Birmingham and Norwich |
|||||||
| 1st |
Glasgow Charity Cup | Celtic |
3 |
3 |
Queen’s Park |
Report |
Pictures |
Won on a coin toss |
| 2nd | League Division 1 | Celtic | 1 |
3 |
Heart of Midlothian | Report | Pictures | |
| 9th |
Glasgow Charity Cup Final |
Celtic |
1 |
1 |
Clyde |
Report |
Pictures |
Joint Winners |
Ian Lochhead , Tommy Mackle, Steve Lynch (RB), Rob Paton , Frank Thomson, Tommy Carmichael (OR), Brian Moore (IL), Jim Upton (LB), Roy Sherry (OL) released. Frank Connor was also released and later resigned by Celtic.
Celtic also sacked Jimmy McStay, ex-manager and centre half for Celtic who had been working as a scout for the club.
First team trainer Willie Johnstone severed his ties with the club in May 1961 – he had been first team trainer since taking over from Alec Dowdells in 1956.
On 18th May Bertie Peacock left Celtic to become player-manager of Coleraine
- Season Review
- Statistics 1960-61
- League Table 1960-61
- Scottish Cup 1960-61
- League Cup 1960-61
New contracted players for the club were John Cushley, Willie Smith, Benny Rooney, Pat McDonagh, Tom Duddy, Frank Brogan, George McBride, Mike Stewart
Frank Connor was re-signed in July; Billy Price was signed from Falkirk for £1000 on 31st July
| Date | Competition | Home Team | Score | Score | Away Team | Report | Pictures | Notes |
| AUG | ||||||||
| 12th | League Cup | Partick Thistle | 2 |
3 |
Celtic | Report | Pictures | |
| 16th | League Cup | Celtic | 0 |
1 |
St Johnstone | Report | Pictures | |
| 19th | League Cup | Hibernian | 2 |
2 |
Celtic | Report | Pictures | First team debut for Billy Price |
| 23rd | League Division 1 | Kilmarnock | 3 |
2 |
Celtic | Report | Pictures | |
| 26th | League Cup | Celtic | 3 |
2 |
Partick Thistle | Report | Pictures | |
| 30th | League Cup | St Johnstone | 2 |
0 |
Celtic | Report |
Pictures |
|
| SEP | ||||||||
| 2nd | League Cup | Celtic | 2 |
1 |
Hibernian | Report | Pictures | |
| 9th | League Division 1 | Celtic | 1 |
0 |
Third Lanark | Report | Pictures | |
| 16th | League Division 1 | Rangers | 2 |
2 |
Celtic | Report | Pictures | |
| 23rd | League Division 1 | Celtic | 3 |
1 |
Dundee United | Report | Pictures | |
| 25th |
Glasgow Cup |
Celtic |
4 |
1 |
Queen’s Park |
Report |
Pictures |
|
| 30th | League Division 1 | Falkirk | 3 |
1 |
Celtic | Report | Pictures | |
| OCT | ||||||||
| 9th |
Glasgow Cup |
Partick Thistle |
1 |
5 |
Celtic |
Report |
Pictures |
Semi-Final |
| 14th | League Division 1 | Celtic | 5 |
0 |
Stirling Albion | Report | Pictures | “The Celtic Song” by Glen Daly makes it Debut and is played over the Parkhead Tannoy for the very 1st time. |
| 18th | League Division 1 | St Johnstone | 0 |
3 |
Celtic | Report | Pictures | |
| 21st | League Division 1 | Heart of Midlothian | 2 |
1 |
Celtic | Report | Pictures | |
| 28th | League Division 1 | Celtic | 2 |
1 |
Dunfermline Athletic | Report | Pictures | |
| NOV | ||||||||
| 4th | League Division 1 | Dundee | 2 |
1 |
Celtic | Report | Pictures | |
| 15th | League Division 1 | Celtic | 7 |
1 |
St Mirren | Report | Pictures | |
| 18th | League Division 1 | Celtic | 3 |
0 |
Airdrieonians | Report | Pictures | |
| 25th | League Division 1 | Aberdeen | 0 |
0 |
Celtic | Report | Pictures | Willie Fernie transferred to St Mirren |
| DEC | ||||||||
| 2nd | League Division 1 | Celtic | 5 |
1 |
Partick Thistle | Report | Pictures | |
| 13th |
Scottish Cup |
Celtic |
5 |
1 |
Cowdenbeath |
Report |
Pictures |
Round 1 |
| 16th | League Division 1 | Celtic | 4 |
3 |
Hibernian | Report | Pictures | |
| 23rd | League Division 1 | Raith Rovers | 0 |
4 |
Celtic | Report | Pictures |