| Manager | Davie Meiklejohn |
| Final League Position | 8th in the 1st Division 6th in Reserve League |
| Club Directory | |
| Squad List Team Group |
|
| Top Goalscorer | George Smith with 19 |
| Date | Opposition | Competition | Result | Scorers | Attendance | |||
| Aug | 11 | Falkirk | League Cup (Section 4) | 2-0 | Davidson (Pen), Ewing | 14,000 | ||
| Aug | 15 | HEART OF MIDLOTHIAN | League Cup (Section 4) | 3-1 | MacKenzie, Ewing, Wright | 21,000 | ||
| Aug | 18 | HIBERNIAN | League Cup (Section 4) | 4-1 | G.Smith (2), Davidson (Pen), Wright | 25,000 | ||
| Aug | 25 | FALKIRK | League Cup (Section 4) | 2-0 | Ewing, Wright | 20,000 | ||
| Aug | 29 | Heart of Midlothian | League Cup (Section 4) | 2-2 | Ewing, G.Smith | 40,000 | ||
| Sep | 1 | Hibernian | League Cup (Section 4) | 2-2 | Wright, G.Smith | 30,000 | ||
| Sep | 8 | MOTHERWELL | 1st Division | 2-3 | Davidson, Crowe | 21,000 | ||
| Sep | 12 | Cowdenbeath | League Cup Quarter Final 1st Leg | 2-1 | G.Smith, Ewing | 8,000 | ||
| Sep | 15 | COWDENBEATH | League Cup Quarter Final 2nd Leg | 2-1 | G.Smith (2) | 14,000 | ||
| Sep | 17 | Rangers | Glasgow Cup Semi-Final | 0-5 | – | 41,000 | ||
| Sep | 22 | QUEEN'S PARK | 1st Division | 0-0 | – | 15,000 | ||
| Sep | 26 | Tottenham Hotspur | Friendly | 1-4 | G Smith | 26,000 | ||
| Sep | 29 | Queen of the South | 1st Division | 0-3 | – | 8,000 | ||
| Oct | 6 | Dundee | League Cup Semi-Final | 0-0 | – | 24,000 | Played at Ibrox | |
| Oct | 9 | Dundee | League Cup Semi-Final Replay | 3-2 | Hogan, Wright, Davidson | 20,000 | Played at Ibrox | |
| Oct | 13 | Rangers | 1st Division | 1-4 | Ewing | 35,000 | ||
| Oct | 17 | NEWCASTLE UNITED | Friendly | 4-1 | Hogan (2), Smith, Ewing | 10,000 | ||
| Oct | 20 | KILMARNOCK | 1st Division | 2-1 | Ewing, Sharp | 12,000 | ||
| Oct | 27 | Celtic | League Cup Final | 0-0 | – | 58,974 | Played at Hampden | |
| Oct | 31 | Celtic | League Cup Final Replay | 0-3 | – | 31,156 | Played at Hampden | |
| Nov | 3 | Heart of Midlothian | 1st Division | 0-1 | – | 20,000 | ||
| Nov | 10 | Airdrieonians | 1st Division | 1-0 | Sharp | 10,000 | ||
| Nov | 14 | Newcastle United | Friendly | 0-5 | – | 10,000 | ||
| Nov | 17 | HIBERNIAN | 1st Division | 3-0 | Kerr, G.Smith, McIntosh | 14,000 | ||
| Nov | 24 | Celtic | 1st Division | 1-1 | McIntosh | 18,000 | ||
| Nov | 26 | TOTTENHAM HOTSPUR | Friendly | 2-0 | Wright, MacKenzie | 7,000 | ||
| Dec | 1 | Dunfermline Athletic | 1st Division | 1-2 | Wright | 7,000 | ||
| Dec | 8 | FALKIRK | 1st Division | 2-1 | Hogan, MacKenzie | 15,000 | ||
| Dec | 15 | East Fife | 1st Division | 1-2 | Wright | 3,000 | ||
| Dec | 22 | ST MIRREN | 1st Division | 2-0 | Wright, Ewing | 11,000 | ||
| Dec | 25 | RAITH ROVERS | 1st Division | 1-1 | Ewing | 12,000 | ||
| Dec | 29 | Ayr United | 1st Division | 1-2 | Wright | 8,000 | ||
| Jan | 1 | Queen's Park | 1st Division | 1-1 | Crowe | 8,000 | ||
| Jan | 2 | ABERDEEN | 1st Division | 1-2 | G.Smith | 10,000 | ||
| Jan | 5 | Motherwell | 1st Division | 2-2 | Wright, McIntosh | 15,000 | ||
| Jan | 12 | QUEEN OF THE SOUTH | 1st Division | 2-1 | Davidson, G.Smith | 14,000 | ||
| Jan | 19 | Raith Rovers | 1st Division | 3-0 | Wright, G.Smith, Ewing | 11,000 | ||
| Jan | 26 | RANGERS | 1st Division | 0-3 | – | 35,000 | ||
| Feb | 2 | St Mirren | Scottish Cup 5th Round | 1-1 | G.Smith | 25,363 | ||
| Feb | 6 | ST MIRREN | Scottish Cup 5th Round Replay | 2-2 | G.Smith, Mathers | 13,049 | ||
| Feb | 9 | Kilmarnock | 1st Division | 1-1 | McIntosh | 13,776 | ||
| Feb | 11 | St Mirren | Scottish Cup 5th Round 2nd Replay | 1-5 | McParland | 12,569 | After Extra-Time, Played at Hampden | |
| Feb | 23 | Dundee | 1st Division | 1-5 | McIntosh | 5,000 | ||
| Feb | 30 | HEART OF MIDLOTHIAN | 1st Division | 2-2 | McIntosh, Gilmour | 18,000 | ||
| Mar | 9 | AIRDRIEONIANS | 1st Division | 1-1 | McIntosh, Harvey | 15,000 | ||
| Mar | 16 | Hibernian | 1st Division | 0-2 | – | 15,000 | ||
| Mar | 30 | DUNFERMLINE ATHLETIC | 1st Division | 3-0 | McIntosh (2), Davidson | 10,000 | ||
| Apr | 4 | Brighton and Hove Albion | Friendly | 1-1 | Hogan | ? | ||
| Apr | 8 | Northampton Town | Fowler & Patterson Testimonial | 1-2 | Davidson (Pen) | ? | ||
| Apr | 10 | CELTIC | 1st Division | 3-1 | G.Smith, Ewing, Hogan | 12,000 | ||
| Apr | 13 | EAST FIFE | 1st Division | 2-1 | G.Smith, OG | 8,298 | ||
| Apr | 20 | St Mirren | 1st Division | 1-1 | MacKenzie | 5,000 | ||
| Apr | 22 | DUNDEE | 1st Division | 5-0 | MacKenzie, G.Smith (2), Wright (2) | 7,000 | ||
| Apr | 24 | Aberdeen | 1st Division | 0-2 | – | 7,000 | ||
| Apr | 27 | AYR UNITED | 1st Division | 5-1 | Gilmour, Ewing, McIntosh, Davidson, Harvey | 6,000 | ||
| Apr | 29 | Falkirk | 1st Division | 1-4 | Gilmour | 10,000 | ||
| May | 1 | THIRD LANARK | Glasgow Charity Cup 1st Round | 1-1 | MacKenzie | 7,000 | PT Lost on the toss of a coin | |
| Others: | ||||||||
| Aug | 11 | FALKIRK | Reserve League Cup (Section 4) | 3-0 | ? | |||
| Aug | 14 | Heart of Midlothian | Reserve League Cup (Section 4) | 2-3 | ? | |||
| Aug | 18 | Hibernian | Reserve League Cup (Section 4) | 1-2 | ? | |||
| Aug | 25 | Falkirk | Reserve League Cup (Section 4) | 2-3 | Walker, Crowe | |||
| Aug | 29 | HEART OF MIDLOTHIAN | Reserve League Cup (Section 4) | 0-1 | – | |||
| Sep | 1 | HIBERNIAN | Reserve League Cup (Section 4) | 0-2 | – | |||
| Sep | 8 | Third Lanark | Scottish 2nd XI Cup 1st Round | 4-4 | ? | |||
| Sep | 17 | RANGERS | Reserve League | 0-2 | – | |||
| Sep | 22 | Queen's Park | Reserve League | 0-2 | – | |||
| Sep | 29 | QUEEN OF THE SOUTH | Reserve League | 1-1 | Mallon | |||
| Oct | 3 | THIRD LANARK | Scottish 2nd XI Cup 1st Round Replay | 5-0 | Hogan, Steel, Walker, Mallon, Crawford | |||
| Oct | 6 | Raith Rovers | Reserve League | 4-1 | Unknown x 4 | |||
| Oct | 12 | RANGERS | Reserve League | 0-0 | – | |||
| Oct | 20 | Kilmarnock | Reserve League | 3-1 | Crawford, Unknown x 2 | |||
| Oct | 24 | Motherwell | Reserve League | 1-2 | Unknown | |||
| Oct | 27 | DUNDEE | Reserve League | 0-2 | – | |||
| Nov | 3 | HEART OF MIDLOTHIAN | Reserve League | 1-1 | Unknown | |||
| Nov | 10 | AIRDRIEONIANS | Reserve League | 2-1 | Mallon, Harvey | |||
| Nov | 17 | Hibernian | Reserve League | 1-2 | Unknown | |||
| Nov | 23 | CELTIC | Reserve League | 3-2 | Mallon, Crawford (2) | |||
| Dec | 1 | DUNFERMLINE ATHLETIC | Reserve League | 5-1 | Unknown x 5 | |||
| Dec | 8 | Falkirk | Reserve League | 0-4 | – | |||
| Dec | 15 | EAST FIFE | Reserve League | 3-0 | ? | |||
| Dec | 22 | St Mirren | Reserve League | 1-1 | ? | |||
| Dec | 29 | AYR UNITED | Reserve League | 6-2 | ? | |||
| Dec | 31 | QUEEN'S PARK | Reserve League | ? | ? | |||
| Jan | 12 | Queen of the South | Reserve League | 0-1 | – | |||
| Jan | 19 | RAITH ROVERS | Reserve League | 1-0 | McNab | |||
| Jan | 26 | Rangers | Reserve League | 2-1 | ? | |||
| Feb | 2 | KILMARNOCK | Reserve League | 4-1 | Gilmour (4) | |||
| Feb | 16 | ST MIRREN | Scottish 2nd XI Cup 3rd Round | 5-3 | Gilmour, Brown, 3 x Unknown | |||
| Feb | 23 | DUNDEE | Reserve League | 4-1 | Gilmour, 3 x Unknown | |||
| Mar | 2 | Heart of Midlothian | Reserve League | 1-3 | ? | |||
| Mar | 9 | Airdrieonians | Reserve League | 4-1 | McParland, Wilson, ?, ? | |||
| Mar | 16 | HIBERNIAN | Reserve League | 4-2 | Hogan, McParland (2), Wilson | |||
| Mar | 20 | CELTIC | Scottish 2nd XI Cup Semi-Final | 3-5 | S Brown, Hogan, McGill | |||
| Mar | 22 | Celtic | Reserve League | 4-1 | Mallon | |||
| Mar | 30 | Dunfermline Athletic | Reserve League | 4-4 | S Brown (3), ? | |||
| Apr | 6 | FALKIRK | Reserve League | 2-0 | Gilmour (2) | |||
| Apr | 10 | Aberdeen | Reserve League | 0-4 | – | |||
| Apr | 13 | East Fife | Reserve League | 2-2 | Gilmour, ? | |||
| Apr | 20 | ST MIRREN | Reserve League | 1-0 | ? | |||
| Apr | 24 | ABERDEEN | Reserve League | 0-4 | – | |||
| Apr | 27 | Ayr United | Reserve League | 4-2 | ? | |||
| Apr | 29 | MOTHERWELL | Reserve League | 2-3 | Brown, Mallon | |||
| ? | ? | Untraced League Fixture | Reserve League | ? | ? | |||