Laura Sarosi picked up one of the spare athlete berths freed by the Tripartite Commission as the next highest-ranked eligible player in the BWF World Rankings as of 5 May 2016.

Meanwhile, the women's K-4 500 m crew (Csipes, Fazekas, Kozák, and Szabó) rounded out the flatwater canoeing lineup at the European Championships in Moscow, Russia on June 26, 2016.

[16][17] On June 8, 2016, the Hungarian Gymnastics Federation had selected London 2012 top 8 finalist Vid Hidvégi (pommel horse), and rookie Zsófia Kovács (women's all-around) for the Olympics.

[25][26] M = Medal race; EL = Eliminated – did not advance into the medal race Hungarian shooters have achieved quota places for the following events by virtue of their best finishes at the 2014 and 2015 ISSF World Championships, the 2015 ISSF World Cup series, and European Championships or Games, as long as they obtained a minimum qualifying score (MQS) by March 31, 2016.

[27] The shooting squad was announced on March 30, 2016, with the rifle specialist Péter Sidi remarkably going to his fifth Olympics, and pistol shooter Zsófia Csonka to her fourth.

[33] Meanwhile, Póta's teammate Petra Lovas and London 2012 Olympian Ádám Pattantyús granted their invitations from ITTF to compete in their respective singles events, as one of the next seven highest-ranked eligible players, not yet qualified, on the Olympic Ranking List.

Gabon Faldum, Tamás Tóth, Margit Vanek, and London 2012 Olympian Zsófia Kovács were ranked among the top 40 eligible triathletes in the men's and women's event, respectively, based on the ITU Olympic Qualification List as of May 15, 2016.

[39] Head coach: Tibor Benedek Hungary women's water polo team qualified for the Olympics by attaining a top finish and securing a lone outright berth at the 2016 European Championships in Belgrade, Serbia.

[41] Head coach: Attila Bíró Hungary has qualified one male weightlifter for the Rio Olympics by virtue of a top seven national finish at the 2016 European Championships.

The wrestling team was named to the Olympic roster on June 24, 2016, with London 2012 silver medalist Tamás Lőrincz and Péter Bácsi competing in the ring at their third straight Games.