1981 Open Championship Second round Second round

| Place | Player | Country | Score | To_par |
|---|---|---|---|---|
| 1 | Bill Rogers | United States | 72-66=138 | –2 |
| T2 | Ben Crenshaw | United States | 72-67=139 | –1 |
| T2 | Nick Job | England | 70-69=139 | –1 |
| 4 | Bernhard Langer | West Germany | 73-67=140 | E |
| 5 | Sam Torrance | Scotland | 72-69=141 | +1 |
| T6 | David Graham | Australia | 71-71=142 | +2 |
| T6 | Tony Jacklin | England | 71-71=142 | +2 |
| T6 | Mark James | England | 72-70=142 | +2 |
| T6 | Tom Watson | United States | 73-69=142 | +2 |
| T10 | Gordon J. Brand | England | 78-65=143 | +3 |
| T10 | Bill Dunk | Australia | 76-67=143 | +3 |
| T10 | Trevor Powell | Wales | 75-68=143 | +3 |
| T10 | Peter Townsend | England | 73-70=143 | +3 |