Kerry and Oman's Foreign Minister Yusuf bin Alawi discussed the "peaceful and humanitarian role played by the sultanate in Yemen," ONA state news agency reported.
Kerry later met with Oman's ruler Sultan Qaboos with whom he discussed "regional and international developments," ONA said.
The visit to Oman is one of Kerry's last trips as secretary of state before President Barack Obama's administration steps down in January.
The US chief diplomat has been pushing for a settlement in Yemen, where a deadly conflict between Iran-backed rebels and the government escalated after a Saudi-led coalition intervened on behalf of the government in March 2015.
It is also the only Arab nation in the Gulf which is not taking part in the coalition, although it maintains good relations with regional powerhouse Saudi Arabia.
More than 7,000 people have been killed and nearly 37,000 wounded in Yemen since March 2015, and the UN says millions are in need of food aid.
Another 21 million people urgently need health services, according to the UN health agency.
Five other rebels, three soldiers and one civilian were killed Sunday in renewed violence in the southwestern province of Taez, military sources said.
After Oman, Kerry will travel to Abu Dhabi for talks on regional conflicts, including Syria.
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