Before (end of 1978) (35 seats, Elections Centre)
Conservative 22 · Other 7 · The Liberal Party 4 · Labour 2
After (end of 1979) (34 seats, Elections Centre)
Conservative 20 · Other 6 · The Liberal Party 6 · Labour 2
Ward results
Clapham1 seat · turnout 80.5%
| Brocklehurst | Conservative | 523 |
| Claughton | LIB | 153 |
Skipton South West1 seat · turnout 82.9%
| Jones | Conservative | 395 |
| Phillips | LIB | 197 |
| Barrett | Labour | 130 |