"Our nuclear weapons will never be a subject matter of negotiations as long as the United States' policy of pressure on the DPRK has not been uprooted once and for all", TASS quoted the minister as saying.
"It is right now a diplomatically led, economic sanctioned buttressed effort to try and turn North Korea off this path", Mattis told the annual convention of the Association of the U.S. Army.
Trump dubbed Kim "Rocket Man" and threatened in a September 19 speech at the United Nations to "totally destroy" North Korea if the USA is forced to defend itself and its allies.
"The current situation - when the United States resorts to maximum pressure and sanctions, to outrageous military threats against the DPRK - is not at all an atmosphere to negotiate", Ri said, according to TASS.
Meanwhile, two B-1B Lancers based in Guam flew a mission in the vicinity of the Sea of Japan, the US Pacific Air Forces said in a statement, in an apparent show of force against Pyongyang.
"The U.S. continues to kick up the racket of frantic nuclear war drills even though the situation on the Korean peninsula is on the verge of the outbreak of a worldwide thermonuclear war", the commentary read.
Senior diplomats of the United States, Japan and South Korea are to meet on October 18 in Seoul to discuss North Korea's evolving nuclear and missile threats, according to the South Korean foreign ministry.
"Presidents and their administrations have been talking to North Korea for 25 years, agreements made and massive amounts of money paid", Trump tweeted on Saturday. Two days previous to that comment the president said on the social media platform that Pyongyang had violated agreements "before the ink was dry, making fools of US negotiators".
Trump has repeatedly made clear his distaste for dialogue with North Korea. "Sorry, but only one thing will work!" "You don't know where the line is for them, and where they say, 'I'm going to push this button'". "Calm before the storm" comment sent chills", Murphy wrote.
Results from an Associated Press-NORC Center for Public Affairs Research poll suggest that 65 per cent think Trump's remarks are making the situation between the USA and North Korea worse, including 45 per cent who think he's made the situation much worse. Kim responded by calling Trump "deranged" and a "dotard".
"So, I mean I think that - it sounds odd to say this, but I think there is actually some parallel at this point in that I think both President Trump and Kim Jong-un are somewhat insecure and prone to immediately escalate", NYT's Kristof said.
The AP-NORC poll of 1,150 adults was conducted September 28-Oct.