Robert Byrne | Photo Joost Evers © Dutch National Archive

L-R Jan Hein Donner, Lajos Portisch en Robert Byrne during the opening ceremony of the
1969 IBM tournament in Amsterdam | Photo Joost Evers © Dutch National Archive

Olimpiai eredményei;

• Helsinki 1952, board 3, 10.5/15 (+8 =5 -2), board bronze;
• Leipzig 1960, board 3, 12/15 (+9 =6 -0), board silver, team silver;
• Varna 1962, board 4, 8.5/13 (+7 =3 -3);
• Havana 1966, board 2, 6.5/13 (+3 =7 -3), team silver;
• Lugano 1968, board 4, 7.5/12 (+4 =7 -1);
• Skopje 1972, board 2, 9.5/14 (+6 =7 -1);
• Nice 1974, board 2, 12/16 (+8 =8 -0), team bronze;
• Haifa 1976, board 1, 7/10 (+5 =4 -1), team gold;
• Buenos Aires 1978, board 4, 4/8 (+1 =6 -1), team bronze.

Helsinki 1820-ban és 2002-ben.