Witnesses say that the victims were walking towards food distribution sites when shots broke out for the third time in three days.
The Israeli army said that it had fired near the individuals who had lost designated roads and had ignored the warnings.
The United Nations rejected the new aid system, saying that it does not respond to the growing hunger crisis in Gaza and allows Israel to use aid as a weapon.
The Gaza Ministry of Health said that most of the victims had shown bullet injuries.
Access for independent journalists remains blocked.