The Iran-backed Huthi rebels had agreed to a "cessation of hostilities beginning on November 17, provided the other party implements the same commitment," said Kerry.
He was speaking in Abu Dhabi a day after meeting Huthi negotiators in Oman for talks aimed at finding a durable political settlement for the war in Yemen which has killed thousands.
Kerry said the United Arab Emirates and regional powerhouse Saudi Arabia "have both agreed to try to move forwards with this. They believe it makes sense".
But Hadi's government said it was not aware of any new peace initiative.
"The government of Yemen is not aware of the statements made by Mr. Kerry and does not consider itself committed to them," said Yemeni Foreign Minister Abdel Malek al-Mekhlafi.
Remarks attributed to Kerry "are a bid to derail peace efforts and a bid to reach an agreements with the Huthis without the government," he said.
The Saudi-led coalition began intervening in Yemen in March 2015, after the Shiite rebels seized Sanaa and swathes of the country forcing the government to seek exile in Riyadh.
Another 21 million people urgently need health services, according to the United Nations.
Six attempts to clinch a ceasefire in Yemen have foundered, including a three-day October truce that fell apart as soon as it went into force to allow aid deliveries to millions homeless and hungry.
Kerry said he met in Oman with a Huthi delegation that travelled there specially to see him and that talks "went into the wee hours of the morning (Tuesday)."
Kerry also spoke about efforts to set up a new government of national unity in a "safe and secure Sanaa... Towards the end of the year."
"The key is now to get everybody on board," he said, adding that it was now essential to implement a UN peace roadmap drawn up by special envoy Ismail Ould Cheikh Ahmed.
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