US President Donald Trump on Saturday hailed the capture by the US military of Nicolas Maduro, as his attorney general vowed the Venezuelan leader would face the "full wrath" of American justice.

Maduro and his wife both face drug and terrorism charges in the United States, which has waged a months-long pressure campaign against the leftist president.

In a stunning denouement, the US army's elite Delta Force snatched the Maduros as bombs fell on Caracas, US media reported.

"The United States of America has successfully carried out a large scale strike against Venezuela and its leader, President Nicolas Maduro, who has been, along with his wife, captured and flown out of the Country," Trump said on Truth Social.

US Attorney General Pam Bondi said Maduro and his wife Cilia Flores had been indicted in the Southern District of New York on charges including "Narco-Terrorism Conspiracy," conspiracy to import cocaine, and charges related to machine guns.

"They will soon face the full wrath of American justice on American soil in American courts," Bondi said on X.

The indictment against Maduro was lodged in 2020 while the indictment against his wife was not previously known.

Trump's administration in August doubled a reward for information leading to his capture to US$50 million, accusing him of leading the alleged "Cartel of the Suns" drug trafficking organization.

The US military action was now complete with "no further action in Venezuela now that Maduro is in US custody," a senator quoted Secretary of State Marco Rubio as saying. (AFP)