Before (end of 1975) (35 seats, Elections Centre)
Conservative 14 · The Liberal Party 9 · Other 7 · Labour 5
After (end of 1976) (35 seats, Elections Centre)
Conservative 22 · Other 7 · The Liberal Party 4 · Labour 2
Ward results
Clapham1 seat · turnout 61.1%
| M. Brocklehurst | Conservative | 400 |
| L. Claughton | LIB | 115 |
No. 1 (Skipton: Central)1 seat · turnout 58.6%
| K. Brooks | LIB | 387 |
| B. Short | Conservative | 192 |
No. 2 (Skipton: East)3 seats
| Robert Heseltine | Independent | 981 ✓ |
| J Robinson | Labour | 549 ✓ |
| P Willey | Labour | 526 ✓ |
| A Clarke | Conservative | 511 |
| H Mytton | Conservative | 508 |
| R Lofthouse | Socialist | 450 |
| E Cartman | LIB | 278 |
No. 3 (Skipton: North)2 seats · turnout 60.6%
| M. Carr | Conservative | 729 |
| M. Crabtree | Independent | 624 |
| D. Hall | Conservative | 546 |
| A. Gill | LIB | 336 |
No. 4 (Skipton: South)2 seats · turnout 52.0%
| D. Swinglehurst | Conservative | 473 |
| J. Tosney | Conservative | 447 |
| B. Philips | LIB | 241 |
| E. Henkelis | Labour | 209 |
| P. Whelan | Labour | 170 |
No. 5 (Skipton: South West)1 seat · turnout 63.7%
| G. Jones | Conservative | 408 |
| F. Walsh | Labour | 127 |
No. 6 (Skipton: West)1 seat · turnout 54.2%
| D. Hebden | Conservative | 331 |
| K. Farey | LIB | 252 |
| G. Leatt | Independent | 49 |