Jón Kristinsson (born 17 June 1942) is an Icelandic chess player, Icelandic Chess Championship two times winner (1971, 1974).

From the begin 1960s to the mid-1970s Jón Kristinsson was one of the leading Icelandic chess players. He twice won Icelandic Chess Championships: in 1971 and 1974. In 1967, in Halle Jón Kristinsson participated in World Chess Championship European Zonal Tournament where he shared in 10th–14th place.^[1]

Jón Kristinsson played for Iceland in the Chess Olympiads:^[2]

• In 1962, at second reserve board in the 15th Chess Olympiad in Varna (+2, =8, -4),
• In 1964, at fourth board in the 16th Chess Olympiad in Tel Aviv (+9, =2, -3),
• In 1968, at fourth board in the 18th Chess Olympiad in Lugano (+6, =7, -2),
• In 1970, at second board in the 19th Chess Olympiad in Siegen (+8, =5, -4),
• In 1972, at second board in the 20th Chess Olympiad in Skopje (+6, =8, -1),
• In 1974, at fourth board in the 21st Chess Olympiad in Nice (+4, =5, -4).

Jón Kristinsson played for Iceland in the World Student Team Chess Championship:^[3]

• In 1955, at fourth board in the 2nd World Student Team Chess Championship in Lyon (+4, =5, -3).

Jón Kristinsson played for Iceland in the Nordic Chess Cups:^[4]

• In 1973, at second board in the 4th Nordic Chess Cup in Ribe (+0, =2, -3),
• In 1976, at second board in the 7th Nordic Chess Cup in Bremen (+0, =3, -2).