Career
She made her debut on 8 June 2003 in a match against Ukraine. Her twin sister, Irena Martínková is also a women"s football player, who plays alongside her for club and country. In 2013 and 2014 the Martínková sisters played for KIF Örebro DFF of the Swedish Damallsvenskan.
Lucie was voted talent of the year at the 2004 Czechoslovakian Football player of the Year (women) and Czechoslovakian Football player of the Year (women) at the 2012, 2013 and 2014.