"The Secretary-General calls for restraint and an immediate de-escalation of the situation," Guterres' spokesman Farhan Haq announced.
Venezuela's Foreign Ministry also stated that President Nicolás Maduro spoke by phone with Guterres about "the escalating threats against Venezuela."
Earlier on Wednesday, Mexican President Claudia Sheinbaum called for more active action from the UN.
The UN has been conspicuously absent and must step up in its role to prevent bloodshed and promote peaceful conflict resolution, said Sheinbaum.
Labeled as "narco-terrorists"
The United States has become increasingly aggressive towards Venezuela in recent months. A series of deadly attacks have been carried out on alleged Venezuelan drug boats, US warships have been mobilized in the Caribbean Sea, and the CIA has been openly given the go-ahead for operations inside the country.
The United States has justified its actions by labeling Venezuelan President Nicolás Maduro and his closest associates as "narco-terrorists."
Last week, an oil tanker was seized off the coast of Venezuela.
And on Tuesday, Donald Trump announced that he had ordered a “total” blockade of all sanctioned oil tankers to and from Venezuela, in a move aimed at the country’s main source of income.
Chile backs Trump
Caracas describes the actions as "warmongering" and accuses the US of wanting to "robe" the Venezuelan people of their wealth.
"We will not be intimidated by their primitive and arrogant threats," Defense Minister Vladimir Padrino López said at an event on Wednesday.
In a phone call with his Venezuelan counterpart Yvan Gil, Chinese Foreign Minister Wang Yi expressed support for "the right of all countries to defend their sovereignty," according to a summary of the conversation from Beijing.
Chile's newly elected ultra-conservative president José Antonio Kast, for his part, says that he supports all possible scenarios that lead to the fall of Maduro's "dictatorship".
