The rules would permit donations from Australia, Canada, Germany, the Netherlands, Norway and the U.K.—countries that support or have supported Clinton Foundation programs on health, poverty and climate change, according to the summary. That means other nations would be prohibited from making large donations to the foundation. But those governments would be allowed to participate in the Clinton Global Initiative, a subsidiary of the foundation where companies, nonprofit groups and government officials work on solutions to global problems. Ministers from any government would be allowed to attend meetings and appear on panels at the group’s meetings and their governments would be allowed to pay attendance fees of $20,000. The new policy, which was designed to address growing concern that the donations would present a conflict of interest for a Hillary Clinton presidency, all but ensures that Mrs. Clinton’s links to the charity will be a feature of the emerging presidential campaign. The campaign did not immediately respond to a request for comment. Last month, when asked about foreign contributions, Mrs. Clinton said she was “very proud of the work the foundation does” and noted that there are “hundreds of thousands of people who support the work of the foundation.” The limits are meant to strike a balance between protecting existing programs while shielding the foundation and Mrs. Clinton from charges that foreign governments are buying influence through their donations, a person familiar with the foundation’s deliberations said. The foundation will begin to release donor names quarterly starting in July. Previously the names were released annually. “By implementing this new, even stronger and more transparent policy, the Clinton Foundation is reinforcing its commitment to accountability while protecting programs that are improving the lives of millions of people around the world,” said Craig Minassian, spokesman for the Clinton Foundation. As a direct result of the restrictions, officials will stop holding events around the world, beyond an event planned for Morocco in early May, which was considered too close to cancel. That event, the Clinton Global Initiative Middle East & Africa conference in Marrakesh, has been funded in part by a $1 million gift from a Moroccan-government owned phosphate-export company, OCP. A Clinton Global Initiative-Mediterranean meeting focused on the economy and scheduled for June in Athens is being canceled. The six countries on the approved donor list are less controversial and politically sensitive than some who gave in 2014, such as Saudi Arabia, Oman and the United Arab Emirates. Still, even the allowed countries would pose issues for a Hillary Clinton administration. Canada’s Foreign Department has made Clinton Foundation donations and is also leading the charge to win approval for the Keystone XL pipeline. Germany and the U.K. are two of the five countries, including the U.S., that drafted an antinuclear accord with Iran. The U.S. and Germany also differ on how best to respond to Russia’s aggression in Ukraine. The foundation plan will likely renew the foreign-gift controversy just as Mrs. Clinton’s presidential campaign launched this week. Earlier this year, Mrs. Clinton came under fire from both Democrats and Republicans when The Wall Street Journal reported that foreign donations to the foundation had resumed last year after a virtual halt when she served as secretary of state from 2009-13.