The best price found from United States to Belarus is on March 6th, 2015, travelling with Transaero Airlines. See more options, compare prices and book: search flights.
Belarus' national airline is Belavia, which has a good safety record and modern planes. Belavia has regular flights to London, Paris, Frankfurt, Berlin, Vienna, Rome, Milan, Barcelona, Kyiv, Istanbul, Tel Aviv, Warsaw, Prague, Rīga and many Russian cities, including Moscow and St Petersburg.
The other main airlines that fly to Minsk:
Air Baltic (www.airbaltic.com)
Austrian Airlines (www.aua.com)
Czech Airlines (www.csa.cz)
El Al (www.elal.co.il)
Estonian Air (www.estonian-air.ee)
Etihad Airways (www.etihad.com)
LOT Polish Airlines (www.lot.com)
Turkish Airlines (www.turkishairlines.com)