| Manager | Davie Meiklejohn |
| Final League Position | 11th in 1st Division |
| Club Directory | |
| Team Group | |
| Squad List | |
| Top Goalscorer |
| Date | Opposition | Competition | Result | Scorers | Attendance | |||
| Aug | 14 | ALBION ROVERS | 1st Division | 3-0 | McCallum (2), Kinnell | 20,000 | ||
| Aug | 18 | Morton | 1st Division | 1-2 | Kinnell | 14,000 | ||
| Aug | 21 | CLYDE | 1st Division | 3-2 | T Wright, Kinnell, Brown | 9,500 | ||
| Aug | 23 | Celtic | Glasgow Cup 1st Round | 1-1 | McCallum | 30,000 | Match Abandoned after 70 Minutes | |
| Aug | 28 | Queen of the South | 1st Division | 2-8 | Sharp (2) | 14,000 | ||
| Sep | 1 | RANGERS | 1st Division | 1-1 | Sharp | 38,000 | ||
| Sep | 8 | Celtic | Glasgow Cup 1st Round | 1-2 | Sharp | 43,000 | ||
| Sep | 4 | East Fife | 1st Division | 0-2 | – | 15,000 | ||
| Sep | 11 | Heart of Midlothian | League Cup Division A, Section B | 2-2 | Walker, O'Donnell | 28,000 | ||
| Sep | 18 | QUEEN OF THE SOUTH | League Cup Division A, Section B | 9-0 | O'Donnell (3), T Wright (3), Walker (2), Kinnell | 35,000 | ||
| Sep | 25 | EAST FIFE | League Cup Division A, Section B | 2-5 | O'Donnell, T Wright | 35,000 | ||
| Oct | 1 | HEART OF MIDLOTHIAN | League Cup Division A, Section B | 3-1 | Walker (2), O'Donnell | 29,000 | ||
| Oct | 8 | Queen of the South | League Cup Division A, Section B | 2-3 | O'Donnell (2) | 9,200 | ||
| Oct | 15 | East Fife | League Cup Division A, Section B | 0-3 | – | 12,000 | ||
| Oct | 22 | HIBERNIAN | 1st Division | 2-6 | T Wright, O'Donnell | 25,000 | ||
| Oct | 29 | Third Lanark | 1st Division | 1-3 | McKennan | 12,000 | ||
| Nov | 6 | Heart of Midlothian | 1st Division | 3-1 | Sharp, Kinnell, Walker | 26,000 | ||
| Nov | 13 | ABERDEEN | 1st Division | 0-0 | – | 25,000 | ||
| Nov | 20 | St Mirren | 1st Division | 2-4 | Kinnell, Davidson | 8,000 | ||
| Nov | 27 | MOTHERWELL | 1st Division | 1-1 | O'Donnell | 20,000 | ||
| Dec | 4 | CELTIC | 1st Division | 1-2 | Sharp | 33,000 | ||
| Dec | 11 | Third Lanark | 1st Division | 2-1 | Walker (2) | 12,000 | ||
| Dec | 18 | FALKIRK | 1st Division | 3-3 | O'Donnell (2), Wilson | 16,000 | ||
| Dec | 25 | MORTON | 1st Division | 1-0 | OG | 15,000 | ||
| Jan | 1 | Clyde | 1st Division | 1-0 | Walker | 23,000 | ||
| Jan | 3 | QUEEN OF THE SOUTH | 1st Division | 1-1 | Sharp | 16,000 | ||
| Jan | 8 | Albion Rovers | 1st Division | 3-2 | O'Donnell (2), Walker | 7,000 | ||
| Jan | 15 | EAST FIFE | 1st Division | 0-0 | – | 20,000 | ||
| Jan | 22 | Arbroath | Scottish Cup 1st Round | 4-3 | O'Donnell (2), Walker, OG | 6,000 | ||
| Jan | 29 | Rangers | 1st Division | 2-2 | Sharp, O'Donnell | 50,000 | ||
| Feb | 5 | QUEEN OF THE SOUTH | Scottish Cup 2nd Round | 3-0 | Walker (2), McKenzie | 36,000 | ||
| Feb | 12 | DUNDEE | 1st Division | 4-4 | T Wright (3), Walker | 32,000 | ||
| Feb | 26 | Aberdeen | 1st Division | 2-4 | Davidson, Thomson | 17,000 | ||
| Mar | 5 | Rangers | Scottish Cup Quarter-Final | 0-4 | – | 65,000 | ||
| Mar | 12 | Motherwell | 1st Division | 1-3 | Walker | 12,000 | ||
| Mar | 19 | Celtic | 1st Division | 0-3 | – | 25,000 | ||
| Apr | 2 | Falkirk | 1st Division | 3-1 | Walker, Sharp, Hewitt | 9,000 | ||
| Apr | 9 | Hibernian | 1st Division | 1-2 | Walker | 14,000 | ||
| Apr | 13 | ST MIRREN | 1st Division | 3-0 | Sharp (2), McCreadie | 15,000 | ||
| Apr | 20 | HEART OF MIDLOTHIAN | 1st Division | 1-1 | Walker | 20,000 | ||
| Apr | 23 | Dundee | 1st Division | 2-4 | Walker, Sharp | 25,000 | ||
| Apr | 30 | CLYDE | Glasgow Charity Cup 1st Round | 3-1 | Walker (2), Sharp | 16,800 | ||
| May | 4 | Rangers | Glasgow Charity Cup Semi-Final | 1-0 | Walker | 25,000 | ||
| May | 7 | Celtic | Glasgow Charity Cup Final | 2-1 | Walker, Hewitt | 51,813 | ||
| Others: | ||||||||
| Aug | 14 | Albion Rovers | Reserve League | 2-3 | ? | |||
| Aug | 18 | MORTON | Reserve League | 1-3 | ? | |||
| Aug | 21 | Clyde | Reserve League | 3-5 | ? | |||
| Aug | 28 | QUEEN OF THE SOUTH | Reserve League | 6-3 | ? | |||
| Aug | 30 | Rangers | Reserve League | 1-1 | McCreadie | |||
| Sep | 4 | EAST FIFE | Reserve League Cup | 2-2 | ? | |||
| Sep | 9 | CENTRAL LEAGUE SELECT | Davie Brown Testimonial | 4-2 | Kinnell, McCallum, McCreadie, T Wright | |||
| Sep | 11 | HEART OF MIDLOTHIAN | Reserve League | 5-2 | ? | |||
| Sep | 18 | Queen of the South | Reserve League | 3-1 | ? | |||
| Sep | 25 | East Fife | Reserve League Cup | 1-0 | ? | |||
| Oct | 1 | Heart of Midlothian | Reserve League | 1-4 | ? | |||
| Oct | 15 | EAST FIFE | Reserve League | 4-1 | ? | |||
| Oct | 22 | Hibernian | Reserve League | 0-3 | – | |||
| Nov | 6 | HEART OF MIDLOTHIAN | Reserve League | 2-4 | ? | |||
| Nov | 13 | Aberdeen | Reserve League | 2-2 | ? | |||
| Nov | 20 | ST MIRREN | Reserve League | 0-3 | – | |||
| Dec | 4 | Celtic | Reserve League | 0-2 | – | |||
| Dec | 11 | THIRD LANARK | Reserve League | 1-1 | ? | |||
| Dec | 18 | Falkirk | Reserve League | 1-2 | ? | |||
| Dec | 25 | Morton | Reserve League | 3-1 | ? | |||
| Jan | 3 | Queen of the South | Reserve League | 5-1 | ? | |||
| Jan Jan |
8 15 |
ALBION ROVERS East Fife |
Reserve League Reserve League |
6-1 5-1 |
? ? |
|||
| Jan | 29 | RANGERS | Reserve League | 2-1 | ? | |||
| Feb | 12 | Dundee | Reserve League | 1-4 | ? | |||
| Feb | 26 | HIBERNIAN | Reserve League | 3-0 | ? | |||
| Mar | 5 | ABERDEEN | Reserve Cup 3rd Round | 3-3 | ? | |||
| Mar | 12 | MOTHERWELL | Reserve League | 4-1 | ? | |||
| Mar | 19 | Aberdeen | Reserve Cup 3rd Round Replay | 3-4 | Harper, McCallum (Pen), Braidwood | |||
| Apr | 2 | THIRD LANARK | Reserve League | 2-3 | ? | |||
| Apr | 9 | CELTIC | Reserve League | 3-2 | ? | |||
| Apr | 23 | ABERDEEN | Reserve League | 2-2 | ? | |||
| ? | ? | ? | Reserve League | ? | ? | |||