In 1979, Young played a leading role in advancing a settlement in Rhodesia with Robert Mugabe and Joshua Nkomo, who had been two of the military leaders in the Rhodesian Bush War, which had ended in 1979. The settlement paved the way for Mugabe to take power as Prime Minister of the newly formed Republic of Zimbabwe. There had been a general election in 1979, bringing Bishop Abel Muzorewa to power as leader of the United African National Council leading to the short-lived country of Zimbabwe Rhodesia. Young refused to accept the election results and described the election as "neofascist," a sentiment echoed by United Nations Security Council Resolution 445 and 448. The situation was resolved the next year with the Lancaster House Agreement and the establishment of Zimbabwe.
In July 1979, Young discovered that an upcoming report by the United Nations Division for Palestinian Rights called for the creation of a Palestinian State. Young wanted to delay the report because the Carter Administration was dealing with too many other issues at the time. He met with the UN representatives of several Arab countries to try to convince them the report should be delayed; they agreed in principle but insisted that the Palestine Liberation Organization also had to agree. As a result, on July 20, Young met with Zehdi Terzi, the UN representative of the PLO, at the apartment of the UN Ambassador from Kuwait. On August 10, news of the meeting became public when the Mossad leaked its illegally-acquired transcript of the meeting first to Prime Minister Menachem Begin, and then through his office to Newsweek. The meeting was highly controversial since the United States had already promised Israel that it would not meet directly with the PLO until it recognized Israel's right to exist.