WASHINGTON — The families of three Army Special Forces soldiers who were fatally shot by a Jordanian base guard in 2016 said on Friday that they had sued the kingdom over false accusations that the Green Berets provoked the killings — accounts disputed by a video of the attack.

The three soldiers — Staff Sgts. Matthew C. Lewellen, Kevin J. McEnroe and James F. Moriarty — were stationed in Jordan as part of a C.I.A.-run program to train Syrian rebels. They were shot at close range by First Sgt. Maarik al-Tawayha, a guard in the Jordanian Air Force, when their convoy was stopped at the gate of the King Faisal air base after a training mission on Nov. 4, 2016.

The lawsuit, filed in Federal District Court in Washington, seeks unspecified monetary damages from the Jordanian government.

“For life to work, we have to be willing to hold the powerful accountable,” James Moriarty, the father of Sergeant Moriarty, said at an emotional news conference on Friday. He also urged the United States to re-examine its longstanding alliance with Jordan.