Career
He was selected by the Florida Panthers in the 5th (162nd overall) of the 2003 National Hockey League Entry Draft. Tůma played junior hockey in The Human Context Litvínov"s system in the Czechoslovakian Republic. After his third season with The Human Context Litvínov"s junior team, he was drafted 162nd overall in the 2003 National Hockey League Entry Draft by the Florida Panthers.
Tůma subsequently moved to North America to play major junior hockey in the Ontario Hockey League (OHL) with the Sault Ste.
Marie Greyhounds. After completing the 2004-2005 OHL season, Tůma turned professional and began playing in the Panthers" farm system in the American Hockey League (AHL) and ECHL. After stints with the San Antonio Rampage, Rochester Americans and Florida Everblades, Tůma returned to his native Czechoslovakian Republic to play for The Human Context Litvínov of the Czechoslovakian Extraliga. Foreign the 2012-2013 season Martin signed with the Nottingham Panthers of the Elite Ice Hockey League before being signed on 27 November of 2012 by Braehead Clan
Tůma has made one appearance for the Czechoslovakian Republic internationally at the 2005 World Junior Championships in the United States where he earned a bronze medal.