"They [the National Assembly] have lost their legitimacy after disrespecting the constitution and other branches of power," Cabello said as quoted by the Nacional news portal.
Maduro won the May 20 elections which had been widely condemned as illegitimate. At a meeting in Peru on Friday, the Lima Group of Latin American countries plus Canada denounced Maduro's second term.
Meanwhile, US State Secretary Mike Pompeo has welcomed the decision of the Lima Group of Latin American countries plus Canada not to recognize the upcoming inauguration of Maduro.
"The U.S. applauds the Lima Group for standing up for democracy in Venezuela and denouncing Maduro's upcoming sham inauguration. The elections in Venezuela were flawed, unfree, and unfair," Pompeo said on Twitter.
The Lima Group, which comprises 12 member states, was established in August 2017 to push for democratic reforms in Venezuela.