Šmíd was drafted in the first round of the 2004 NHL Entry Draft, ninth overall, by the Mighty Ducks of Anaheim. He played junior hockey for HC Liberec Junior in the 2001–02 season, and split the following three seasons between HC Liberec Junior and the professional HC Bílí Tygři Liberec. He also played for the Czech Republic in the 2004, 2005 and 2006 IIHF World U20 Championships, as well as for the under-18 team the 2004 IIHF World U18 Championships.