Plašil is a right footed attacking midfielder whose talent in 2000 was discovered by the French AS Monaco . For the Monegasque he made his debut in the first team on December 22, 2001 in the match against Stade Rennais . In the first two seasons in Monaco Plašil but had eight games in the first team. Therefore, he was loaned out to do. More playing time and experience In the second half of the 2002/03 season he played for U.S. Creteil in Ligue 2 . After the rental period Plašil was a fixture in the League 1 team became Monaco. He also played club football at European level.
Plašil scored his most memorable goal on November 5, 2003 in the Champions League duel that his club AS Monaco 8-3 win against Deportivo La Coruna. After 47 minutes, he lobbed the keeper of the Spaniards from 35 meters away and brought the standings at 6-2.
In 2007, the midfielder moved to Spain, where he signed a four-year contract with Osasuna . In the two seasons he played in Spain Plašil was a fixture in the team. He then returned in 2009 returned to France for Girondins de Bordeaux to sign up to the summer of 2013.
On July 13, 2011 Plašil extended his contract at Bordeaux with two additional seasons until 2015. The departure of Alou Diarra is Plašil since the preparations for the 2011/12 season, the new captain of Bordeaux.
After he had shown himself already as one of the stalwarts in the Czech youth teams he was on March 31, 2004 for the first time the shirt of the Czech national A-team attract. Under coach Karel Brückner , he played his first 22 minutes against Ireland. He was then regularly called for the Czech team and was in the squad for Euro 2004, the 2006 World Cup in Germany and the Euro 2008 . He took part in the Czech Republic with the European Football Championship 2012 in Poland and Ukraine , where the team coach Michal Bílek in thequarterfinals was eliminated by Portugal thanks to a header from Cristiano Ronaldo .