The twin earthquakes killed nearly 2,300 people and tens of thousands of people are still unaccounted for.
In her addresses on state television, Rodríguez expressed her deepest sympathies to the families who lost loved ones and reaffirmed the government's commitment to stand by them and protect them.
National Assembly President Jorge Rodríguez said that, as of Wednesday, the earthquakes had claimed the lives of 2,295 people and injured 11,000 others.
The Vietnamese team aiding earthquake relief operations in the Playa Grande area of La Guaira state have recovered from the rubble the bodies of 11 victims and handed them over to the Venezuelan authorities.
