Mirnyi won the 1998 US Open and 1998 Wimbledon along with Serena Williams, and lost the final of 1999 Australian Open. His best performance at a Grand Slam in singles came when he got to the quarterfinals of the 2002 US Open, defeating Attila Sávolt, Antony Dupuis, Dominik Hrbatý and Roger Federer before losing to Andre Agassi. In the 2004 Davis Cup, he and Vladimir Voltchkov defeated Russia 3–2 and Argentina 5–0, reaching the semifinals, where they lost to the United States. In 2006, he scored an upset against James Blake at Wimbledon. That same year, he and Jonas Björkman defeated the Bryan brothers in men's doubles at the French Open. In 2011, he and Daniel Nestor defeated Juan Sebastián Cabal and Eduardo Schwank at the [[French Open. In 2012, he and Daniel Nestor defeated the Bryan brothers, both at the Queen's Club, UK, and again at the French Open.