Szabo won gold medals in the 1984 Olympics in three individual events (vault, balance beam (tie), and floor exercise), won the all-around silver medal, and contributed to the team gold. With her four gold medals and a silver medal, Szabo was the most successful athlete at the 1984 Summer Olympics. Afterwards, she led her team to the world title at the 1987 World Artistic Gymnastics Championships, defeating the USSR in the team competition for only the second time in the history of the competition. In 2000, Szabo was inducted into the International Gymnastics Hall of Fame.