“Save your vitality Rex, we’ll do what needs to be achieved!” Mr Trump tweeted, after it emerged the US had traces of communication with Pyongyang.
Rex Tillerson disclosed the event on Saturday, saying North Korea had little curiosity in dialogue.
The 2 nations have engaged in heated rhetoric in latest months.
The US desires North Korea to halt its weapons programme, which has seen it carry out repeated missile assessments and, on three September, the check of a miniaturised hydrogen bomb which could possibly be loaded on to a long-range missile, which Pyongyang mentioned was profitable.
However makes an attempt at dialogue appear to be at odds with President Donald Trump’s personal perspective to the problem.
On Sunday, he tweeted, in reference to North Korean chief Kim Jong-un: “I informed Rex Tillerson, our great Secretary of State, that he’s losing his time making an attempt to barter with Little Rocket Man…”
He didn’t elaborate on what he means by “we’ll do what needs to be achieved”.
It isn’t the primary time Donald Trump has sought to contradict high officers inside his administration.
In August, he mentioned the US navy was “locked and loaded” able to take care of North Korea, simply hours after his defence secretary tried to chill tensions by saying that diplomatic efforts have been succeeding.
His feedback come a day after Mr Tillerson revealed that US officers had some communication channels open with Pyongyang, regardless of the escalating confrontation between the leaders of each nations.
Requested whether or not North Korea would come to the negotiating desk, the secretary of state mentioned: “We’re probing, so keep tuned.”
Nonetheless, he later acknowledged that little progress had been made.
Mr Tillerson was talking throughout a visit to China – the North’s largest buying and selling associate – to fulfill President President Xi Jinping and different officers.
China simply final week informed North Korean companies working in its territory to shut down as a part of contemporary United Nations sanctions in opposition to the reclusive state.