Last year, the agency was hit by a major funding crisis that threatened to affect the opening of schools.
An appeal by UN Secretary-General Ban Ki-moon to donors helped resolve the crisis, but the agency still has a funding gap of some $80 million.
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"We'd be very appreciative to have countries that have come forward last summer to help, and in particular three Gulf states –- Saudi Arabia, United Arab Emirates and Kuwait -– renew their generosity this year," said Pierre Krahenbul, UNRWA's commissioner-general.
"If we could have that, we'd be able to avoid another crisis this summer," he said.
Established in 1950, UNRWA helps some five million Palestinians living in Jordan, Syria, Lebanon and in the Palestinian territories.