A total of around 17 trucks carrying medical and food supplies had been inspected by UNRWA, the UN's Palestinian refugee agency, the sources said.
The first convoy of badly needed supplies entered Gaza on Saturday.
Israel imposed a total blockade and launched air strikes on Gaza in response to a deadly attack on Israeli soil by Hamas on Oct. 7. The Rafah crossing had been out of operation since shortly afterwards, and bombardments on the Gaza side damaged roads and buildings.