Strachová has also won numerous medals at the National Alpine Skiing Championships of the Czech Republic and other nations. She has been the National Champion (i.e. gold medalist) at the Czech (2002: slalom; 2003: slalom, giant slalom and super-G; 2004: slalom, giant slalom; 2005: slalom, giant slalom; 2006: super-G), Slovenian (2006: giant slalom), and Croatian (2006: giant slalom) national championships. Her giant slalom victory at the 2006 Croatian championships was by a narrow 0.15 second margin over Janica Kostelić, who had just beaten Strachová for the super-G title the previous day and was coming off one of the most dominant seasons in World Cup skiing history. Šárka Strachová and her brother Petr Záhrobský are the only skiers of the Ski Team Krkonoš. Their personal coach is their father Petr Záhrobský. The team has not had good relationships with the Czech Ski Association. The coach protested, especially after the association officials approved the rule that Czech skiers have to prefer their home competitions to the foreign ones, and refused to follow it, stating that Strachová needs better rivals to remain a premier international skier. Šárka Strachová also does not prepare with the rest of the Czech national team because her father believes it would disadvantage her career. Both Šárka Strachová and her brother Petr race on Fischer skis. On 28 March 2017 Strachová announced her retirement from professional skiing aged 32. In 2013, she married her long-time boyfriend, Antonín Strach and became Šárka Strachová. On 14 November 2017 Strachová announced her pregnancy.