We have to calm down the hot heads and understand that we do need pauses, that we do need some contacts, Mr Lavrov told a news conference after his address to the UN General Assembly. She called on world powers to toughen their approach to President Kim Jong-un's actions.
Foreign Minister Ri Yong Ho spoke to reporters in NY, where he is attending the United Nations General Assembly.
Kim Jong Un said Trump is a "mentally deranged dotard" and one that is "unfit to hold the prerogative of supreme command of a country".
Kim's statement was unusual because it was written in the first person.
It is unusual for the North Korean leader to issue such a statement in his own name.
Previous earthquakes in North Korea have indicated nuclear tests by the nation, which is at loggerheads with the U.S. and the rest of the global community over its weapon development.
Such a test would be considered a major provocation by Washington and its allies.
There have been so many rounds of sanctions against North Korea that it can be hard to keep track.
Earlier this month the UN Security Council unanimously adopted its ninth round of sanctions on Pyongyang to counter its nuclear and ballistic missiles programmes.
Trump said the China action he described "was a somewhat unexpected move and we appreciate it".
She told reporters Friday that such a weapons test would be "outrageous" and would draw a "concerted and determined worldwide response". "You are protected. Nobody's going to mess with our people".
"To put a live nuclear warhead on a missile that's only been tested a handful of times, overflying potentially populated centres. It is truly terrifying if something goes wrong".
The analyst concluded by saying that North Korea's "belligerent rhetoric" stems from its concern about USA threats of regime change and the complete destruction of the country.
The participants also marched in the huge square with placards bearing pugnacious slogans such as "nuclear thunder to the United States". The actual translated quote: "I will surely and definitely tame the mentally deranged US dotard with fire".
Hours before Kim's statement, Trump announced stiffer new sanctions on North Korea as he met his South Korean and Japanese counterparts in NY.
In an executive order issued Thursday, the Treasury Department has been granted expanded latitude to target anyone trading with North Korea, barring them from using the USA banking system.
China has also urged calm, with the foreign minister, Wang Yi, telling his Japanese counterpart that Tokyo should not abandon dialogue over North Korea.