"The improvement shows the difference that greater access can make. Increased food deliveries to the north and nutrition services have helped to reduce the very worst levels of hunger, leaving a still desperate situation," it said.
"Hostilities in Rafah in May displaced more than a million people and severely limited humanitarian access," it said.
"Meanwhile, the security vacuum has fostered lawlessness and disorder which severely hamper humanitarian operations.
"WFP now fears that southern Gaza could soon see the same catastrophic levels of hunger previously recorded in the northern areas."