The Shiite Huthi rebels and the General People's Congress of former president Ali Abdullah Saleh have agreed to "form a supreme political council of 10 members", according to a statement carried by a rebel-run news agency.
It did not name the council's members.
"The aim is to unify efforts to confront the aggression by Saudi Arabia and its allies," the statement said in reference to the Riyadh-led Arab coalition that launched a military campaign against the rebels in March last year in support of President Abedrabbo Mansour Hadi.
Yemen's Foreign Minister Abdulmalek al-Mikhlafi said the new move represents a "new coup" and blamed the rebels for "missing an opportunity for peace."
The rebels have "missed an opportunity for peace which the Yemeni people needed... And insisted on foiling the negotiations," Mikhlafi said on his Twitter account.
"We call on the international community to condemn the new coup against the constitutional legitimacy and hold the Huthi-Saleh alliance responsible for foiling the talks," he said.
The rebels overran Sanaa in September 2014 and expanded their control to other parts of Yemen.
UN-sponsored talks between the rebels and representatives of Hadi's government, which began on April 21, have failed to make headway.
The negotiations being held in Kuwait were launched after the United Nations secured an agreement on a ceasefire in the war-torn country.
The main stumbling block at the talks in Kuwait was the form of the government in the capital Sanaa.
The Hadi government backed by Saudi Arabia say that he is the legitimate head of state and that he should preside over a transitional period in the country.
More than 6,400 people have been killed in Yemen since the Saudi-led coalition intervened in support of Hadi's government.
Another 2.8 million people have been displaced and more than 80 percent of the population urgently needs humanitarian aid, according to UN figures.
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