The charges say the family was given $2,200 to blame Israel for the death of their 8-month-old girl last month.
The child died May 14 of a blood disorder, the same condition the family's 6-month-old son died of last year.
The girl's uncle, Mahmoud Omar, is named in the indictment. He was arrested last month during the "March of Return" riots after being caught trying to cross into Israel to set fire to an unmanned Israeli army position.
During interrogations, Omar told investigators about the payoff for his family to lie about his niece's death. He is also a member of the Palestinian al-Aqsa Martyrs' Brigades.
Israeli army officials had cast doubt on the story. About two weeks after the girl's death, the Hamas Health Ministry in Gaza removed her name from a list of those killed in border clashes with Israeli forces.