The GHF earlier said that aid was handed out on Tuesday from three sites in southern and central Gaza without incident.
Last week, the army warned Palestinians not to approach routes leading to sites of the GHF between 6.00pm and 6.00am local time, describing these roads as closed military zones.
The GHF began distributing food packages in Gaza at the end of May, overseeing a new model of aid distribution which the United Nations says is neither impartial nor neutral.
“Day after day, casualties & scores of injured are reported at distribution points manned by Israel & private security companies,” Philippe Lazzarini, the chief of the UN Palestinian refugee agency (UNRWA), wrote on X.
“This humiliating system continues to force thousands of hungry & desperate people to walk for tens of miles, excluding the most vulnerable & those living too far,” he said.