| Champions |  Passage (3rd title) | ||
|---|---|---|---|
| Runners-up | St. Vincent's | ||
| |||
The 1960 Cork Intermediate Hurling Championship was the 51st staging of the Cork Intermediate Hurling Championship since its establishment by the Cork County Board in 1909.
On 4 September 1960, Passage won the championship following a 3–07 to 1–08 defeat of St. Vincent's in the final at Riverstick Sportsfield.[1] This was their third championship title overall and their first title since 1930.
| 17 April 1960 First round | Ballymartle | v | Tracton | Kinsale Grounds |
| 8 May 1960 First round | St. Vincent's | 0-07 - 0-02 | St. Finbarr's | The Mardyke |
| 22 May 1960 First round | Newtownshandrum | 0-06 - 2-05 | Midleton | Páirc Mac Gearailt |
| 22 May 1960 First round | Cobh | 2-00 - 4-08 | Glen Rovers | Riverstown Sportsfield |
| 24 April 1960 Quarter-final | Carrigaline | 5-10 - 6-03 | Fermoy | Cork Athletic Grounds |
| 22 June 1960 Quarter-final | University College Cork | 0-03 - 5-14 | Passage | Carrigaline Grounds |
| 26 June 1960 Quarter-final | St. Vincent's | 5-06 - 1-04 | Ballymartle | Carrigaline Grounds |
| 26 June 1960 Quarter-final | Midleton | 2-12 - 4-04 | Glen Rovers | Riverstown Sportsfield |
| 10 July 1960 Semi-final | St. Vincent's | 2-11 - 2-06 | Midleton | Cork Athletic Grounds |
| 10 July 1960 Semi-final | Carrigaline | 6-09 - 4-08 Match declared void and awarded to Passage after an objection | Passage | Douglas Grounds |
| 4 September 1960 Final | Passage | 3-07 - 1-08 | St. Vincent's | Riverstick Sportsfield |