Between 1994 and 1998 Winter Olympics, Chun won the Overall World Championship three times in a row, in 1995, 1996 and 1997 (becoming the second person to have won three consecutive Overall World Championships). She also won the Overall World Cup title for 1997–1998 season.
In 1998, at the Nagano Winter Olympics, Chun successfully defended both of her Olympic titles, by defeating China's Yang Yang (A) and Yang Yang (S) in the 1000 m final after trailing for most of the race. She led the relay team to another Olympic victory with world record time, completing the first "double-double" in Olympic short track history. She became the first quadruple Olympic Champion in Short Track Speed Skating and the first one from Korea. Chun retired shortly after the 1998 Olympics.