"To all airlines, pilots, drug dealers and human traffickers, please consider the airspace over and around Venezuela to be completely closed," Trump wrote, partly in capital letters.
The president did not provide any further details about what the move might mean in practice, but it comes against the backdrop of recent escalating tensions between Washington and Caracas.
"Venezuela condemns the colonialist threat aimed at undermining its sovereignty in its airspace, in yet another flagrant, illegal and unjustifiable aggression against the Venezuelan people," Venezuela's Foreign Ministry wrote in a statement according to AFP.
The United States has carried out repeated military attacks in the Caribbean Sea and the eastern Pacific Ocean this fall against what it claims were drug-smuggling boats. More than 80 people have been killed in the attacks.
Recently, Trump said that the US plans to stop drug smugglers from Venezuela even on land.
At the same time, several American warships, including an aircraft carrier, have been moved to the Caribbean Sea near Venezuela.
