During his pro club career, Navarro was a two-time EuroLeague champion, in 2003 and 2010. He was also named the EuroLeague MVP in 2009, the EuroLeague Final Four MVP in 2010, and was selected as a member of the EuroLeague 2001–10 All-Decade Team. As the captain of the senior national team of Spain, Navarro notably won, among other medals, a FIBA World Cup gold medal in 2006, two Summer Olympics silver medals in 2008 and 2012, as well as two EuroBasket gold medals in 2009 and 2011. He also earned two All-EuroBasket Team selections (2005, 2011), and was the competition's MVP in 2011.