Hrbatý is one of only three players, alongside Nick Kyrgios and Lleyton Hewitt, to have beaten each member of the Big Three (Novak Djokovic, Roger Federer, and Rafael Nadal) the first time he played them.

[2] Hrbatý is one of a select few players to have competed on the ATP Tour with a positive winning record against Federer (2–1), Nadal (3–1), Murray (1–0), and Berdych (1–0 in ATP-level matches, or 2–0 overall).

Hrbaty, Alex Corretja and Novak Djokovic are the only players to have a winning record over Roger Federer and Rafael Nadal.

When he was younger, Hrbatý was European junior competitor in skiing and from the age of 11, he focused on tennis full-time.

He is married to Nelly Petrová; he proposed after Slovakia won the Hopman Cup on 10 January 2009 (with Dominika Cibulková).

This makes Hrbatý a dual winner to move into the company of Serena Williams, James Blake, Tommy Robredo and Arantxa Sánchez Vicario.

His greatest breakthrough was reaching the semi-finals of Roland Garros where he defeated Julien Boutter, Yevgeny Kafelnikov, Andrew Ilie, Marat Safin and Marcelo Ríos before falling to eventual winner, Andre Agassi.

2001 got off to a quick start for Hrbatý, winning in Auckland for his third ATP title, defeating at the final the Spaniard Francisco Clavet.

He reached his second Tennis Masters Series title final in Paris losing to Nikolay Davydenko, which helped him finish in the top 25 in the year-end rankings.

At the 2007 U.S. Open, in doubles, he lost to Jesse Levine and Alex Kuznetsov, while pairing with Harel Levy of Israel, 6–1, 6–4.

At the 2008 Wimbledon Championships, Hrbatý lost to his good friend and former doubles partner Federer in the first round, 6–3, 6–2, 6–2.

In 2012, Hrbaty temporarily returned to professional tennis by playing in the qualifying tournament for the 2012 Heineken Open.