According to Official Guinness Records,
Col. Joe Kittinger, USAF became the first man to complete a solo transatlantic crossing by balloon. In the 2850m3 101,000ft3 helium-filled balloon Rosie O'Grady, Kittinger lifted off from Caribou, Maine, USA on 14 Sep 1984 and completed a distance of 5701km 3543miles before landing at Montenotte, near Savona, Italy 86hours later on 18 Sep 1984.
For a complete list of 1984 records, please visit 1984 Guinness Records in United States.