Deposed Venezuelan leader Nicolás Maduro will appear in a New York City courtroom today after his capture by the US military in an attack that killed at least 32 Cubans.

Ousted Venezuelan President Nicolas Maduro is set to make his first court appearance after he was captured in a shock US military operation and hit with narco-terrorism charges.

The pair were forcibly taken out of Caracas in a US assault Saturday, in which commandos swooped in on helicopters, backed by fighter jets and naval forces, to capture them.