[1] Serebrianska tied Bulgaria's Maria Petrova for the all-round title at the 1995 World Championships in Vienna, Austria.

She also won several individual apparatus titles: rope at the 1993 World Championships in Alicante, Spain; hoop (tied with Belarusian Larissa Lukyanenko and Bulgarian Maria Petrova), ball (tied with Ukrainian teammate Olena Vitrychenko), clubs and ribbon in the 1994 World Championships in Paris, France; ball (tied with Russians Yanina Batyrchina and Amina Zaripova) at the 1995 Worlds in Vienna, Austria; and again in 1996 in Hungary.

As the gold medal favorite after her dominance in 1994, 1995, and early 1996, at the 1996 Atlanta Olympics, Serebrianska's technical strength, cleanliness, difficulty, and mature presentation won her the gold medal, although she had a slight fumble with the ribbon before her final toss.

Serebrianska, Alina Kabaeva, Olexandra Tymoshenko and Evgenia Kanaeva are the only rhythmic gymnasts to win World, European and Olympic titles.

At the 1997 European Championships in Greece, Serebrianska dropped a club at the end of her all-round clubs routine (9.825), but scores of 9.950 on both the rope and ribbon, and a 9.912 on hoop gave her an accumulated score of 29.637 and hence the bronze medal by 0.012 ahead of French competitor, Eva Serrano.