Saif al-Islam al-Qadhafi, the son of Libyan leader Muammar al-Qadhafi who runs the foundation, issued the statement on Tuesday.
The foundation will “assign lawyers to the families to make a case against those responsible for the operations and compensate their families,” according to the statement.
The US military faced mounting criticism after an air attack it launched against what it said was a “terrorist” hideout in Afghanistan left nine children dead on Saturday.
The raid occurred in Ghazni province which has been troubled by attacks blamed on Taliban fighters.
In 2001 a US-led coalition toppled the Taliban, and American forces continue to remain in the country to combat the resurgent group.