Nelly Barnet was a member of the bronze medal winning team at the 1967 Pan American Games as well as of the gold medal winning teams at the 1971 and 1975 Pan American Games.
| Games | Discipline (Sport) / Event | NOC / Team | Pos | Medal | As | |
|---|---|---|---|---|---|---|
| 1972 Summer Olympics | Volleyball (Volleyball) | Nelly Barnet | ||||
| Volleyball, Women (Olympic) | Cuba | 6 | ||||
| 1976 Summer Olympics | Volleyball (Volleyball) | Nelly Barnet | ||||
| Volleyball, Women (Olympic) | Cuba | 5 | ||||
| 1980 Summer Olympics | Volleyball (Volleyball) | Nelly Barnet | ||||
| Volleyball, Women (Olympic) | Cuba | 5 |