
In a televised statement, the group said a five-member council would act as the president for an interim period.
The group took control of the capital Sanaa in September, forcing the resignation of President Abed Rabbo Mansour Hadi in January.
The announcement comes after the failure of UN-brokered peace talks.
The Houthis set a Wednesday deadline for political parties to reach an agreement on ending the country's political turmoil, threatening to act unilaterally otherwise.
BBC/RI