Țiriac was the first man to play against a woman and defeat her, in a sanctioned tennis tournament (against Abigail Maynard, in 1975).
The highlight of his ice hockey career was participating as a defenseman in the Romanian national team at the 1964 Winter Olympics.
After retirement, Tiriac became active as a tennis coach, advisor and player agent in the 1980s, taking under his wing Ilie Năstase, Manuel Orantes, Adriano Panatta, Guillermo Vilas, Henri Leconte and the young Boris Becker.
As a tennis player, Tiriac played dramatic five-setters against Rod Laver, Stan Smith, Jan Kodeš and Manuel Orantes.
His singles record includes wins over Arthur Ashe, Stan Smith, Roscoe Tanner, Manuel Orantes, Andrés Gimeno, Adriano Panatta and Niki Pilić.
With fellow Romanian Ilie Năstase he won the men's doubles in the 1970 French Open and reached the Davis Cup finals several times in the 1970s.
[19] John McPhee wrote of him that his drooping mustache suggests "that this man has been to places most people do not imagine exist.
[21][22] After his retirement, he served as coach and manager for players such as Ilie Năstase, Guillermo Vilas, Mary Joe Fernández, Goran Ivanišević and Marat Safin.
Țiriac ran major men's events in Germany, including the season-ending championships in Hanover.
[31] Visitors will find the only collection in the world with 2 Rolls-Royce Phantoms IV, as well as exhibits that previously belonged to great names such as Sir Elton John, Sammy Davis Jr. or Bernie Ecclestone.
[35] He has a son, Ion Țiriac Jr., with Mikette von Issenberg, a fashion model; and further two children, Karim Mihai and Ioana Natalia, with Sophie Ayad, an Egyptian journalist.