The death toll from Saturday's US military operation in Venezuela has risen to 80, the New York Times reported on Sunday.

Citing a senior Venezuelan official, the Times said on Sunday the number could rise further.

Earlier, Venezuela's Defence Minister Vladimir Padrino said a large part of Venezuelan President Nicolas Maduro's security team had been killed during the US operation, without giving exact numbers.

President Donald Trump said US military action on Venezuela resulted in the capture of Maduro, and his wife, Cilia Flores, also pledged to assert American control over the country for the time being, with US troops if necessary.

The pair landed in New York late Saturday and is being held at the Metropolitan Detention Centre in Brooklyn.

They face US federal charges tied to drug trafficking and alleged cooperation with gangs designated as terrorist organisations.

Maduro has denied the accusations, and officials in Venezuela's capital, Caracas, have called for the couple's release.