In a televised speech on Tuesday, Al-Houthi called for a speedy reformation of a national committee tasked with overseeing the outcome of the National Dialogue Conference, which ended in January of 2014.
He also called for expediting the amendment of the country's draft constitution, the implementation of the peace and partnership agreement in addition to a comprehensive security reform.
Sanaa has been rocked by deadly clashes for the second consecutive day on Tuesday between Houthi militants and presidential guards, which left several people dead.
During his speech, the Houthi leader accused Yemeni President Abd Rabbuh Mansour Hadi of covering up corruption and not taking the peace and partnership agreement seriously.
"There is conspiracy against Yemen and its people that is led by forces targeting the entire region," al-Houthi said in a televised speech.
"Yemen in on the verge on political, security and economic collapse," al-Houthi said. "Yemeni leadership is mired in corruption."
The Houthi leader also went on to accuse Hadi of providing weapons to the al-Qaeda group.
"President Hadi has refused to order the army to fight al-Qaeda," he claimed.
Yemen has been suffering lawlessness since a popular uprising that erupted in 2011 ended the autocracy of President Ali Abdullah Saleh a year later.
The Houthis seized control of Sanaa in September of 2014 and have since then moved to extend their control to other provinces.
Some Arab capitals accuse Shiite Iran of backing Yemen's ongoing Houthi insurgency.