Fédération Internationale d'Escrime
Hatuel-Czuckermann has been married to Robert Czuckermann since 1989 and the two have four children together, sons Idan, Matan, and Niran, and daughter Lihi. With the exception of Lihi, all of her children are competitive fencers with the Fédération Internationale d'Escrime. Other notable members of her family include her brother, Yitzhak Hatuel, and her niece, Delila Hatuel, both of whom are fencers.