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.