1984 Open Championship Missed the first cut Missed the first cut

| Player | Country | Years_won | Total | To_par |
|---|---|---|---|---|
| Gary Player | South Africa | 1959 , 1968 , 1974 | 149 | +5 |
| Arnold Palmer | United States | 1961 , 1962 | 153 | +9 |
| Tony Jacklin | England | 1969 | 156 | +12 |
| Kel Nagle | Australia | 1960 | 159 | +15 |
| Bill Rogers | United States | 1981 | 159 | +15 |