The announcement came just hours before the opposition hoped to mount big protests against the socialist government, spurred by anger over the ruling.
In an address early after yesterday's meeting presided over by Maduro, the National Security Council announced that was supporting a review by the court "with the goal of maintaining institutional stability."
The announcement capped an extraordinary day in which Venezuela's chief prosecutor and long-time loyalist of the socialist government broke with the Maduro administration and denounced the court ruling. Luisa Ortega Diaz said it was her "unavoidable historical duty" as the nation's top judicial authority to decry the ruling against the opposition- controlled National Assembly as a "rupture" of the constitutional order.
Maduro called the meeting of the council seeking to calm the political uproar, though at least one key member refused to attend while criticism from other governments mounted.
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Dressed in black and waving a small blue book containing the Venezuelan constitution early in the televised meeting, Maduro likened the international condemnation of this week's Supreme Court decision to a "political lynching."
About a dozen officials were present at the session, but among those notably absent was congress president Julio Borges, who said the meeting was no more than a circus act created for a convenient photo opportunity by the same person the opposition blames for the country's troubles.
Yesterday, troops from the National Guard fired buckshot and swung batons at students protesting in front of the Supreme Court. A few people were arrested and some journalists covering the demonstration had their cameras taken.
A few other, small protests popped up elsewhere in the capital. Larger demonstrations were expected today in what opposition leaders hoped would be a big turnout to denounce Maduro and call for elections.
"We all have to get out for the dignity of our country, the dignity of our children and the dignity of Venezuela," Borges said in urging Venezuelans to join in protests today.