The 2014 season was Veith's most successful season so far. At the 2014 Winter Olympics in Sochi, Russia, Veith won the super-G at Rosa Khutor for her first Olympic medal, winning by over a half-second. Three days later, she won a silver medal in the giant slalom, just .02 seconds behind gold medalist and World Cup rival Tina Maze of Slovenia. The Giant Slalom was held in the rain.