These transportation options in Sochi might help your romantic trip get off to a smooth start: To get to Sochi, book a flight to Sochi (AER-Sochi Intl.), which is the closest major airport, located 14.6 mi (23.5 km) from the city center. If you want to journey outside of the area, hop aboard a train from Sochi Station, Khosta Station, or Adler Station.