UNITED NATIONS — For two years in a row, the exercise of naming and shaming armies that kill and maim children on the battlefield has been subject to intense political jockeying among the powerful at the United Nations.

Last year, Secretary General Ban Ki-moon, after intense pressure from Israel and the United States, kept both Israel and Hamas off the global list of children’s rights violators, despite the recommendations of a senior envoy.

On Monday, just four days after adding to the list the Saudi-led military coalition that has been bombing Yemen, Mr. Ban announced that he was scrubbing it off while he awaits a review conducted jointly with a team from the accused coalition.

In a statement, Mr. Ban said he had invited the coalition “to send a team to New York as soon as possible for detailed discussions.”