The movement scattered in various parts of the world is engaging in peaceful demonstrations against the new Constituent Assembly
The US measures came as Venezuela's opposition began a two-day nationwide strike
Donald Trump did not specify what measures could be taken.
Venezuela's Supreme Court meanwhile slapped an asset freeze and travel ban Wednesday on Attorney General Luisa Ortega
Clashes between protesters and riot cops have left 36 people dead and hundreds injured
A month of demonstrations in April in Venezuela has left 28 people dead in clashes between riot police and anti-government protesters.
Opposition lawmakers on Wednesday debated a motion to call for the judges' removal.
President Nicolas Maduro's opponents blame him for an economic crisis that has caused food shortages and riots.
Oil giant Venezuela's once-booming economy has gone into meltdown as crude prices have crashed since mid-2014.
The shortages "explain why there are waiting lists at all the hospitals".
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