As leader of the world's most influential nation, and the strongest democracy, Mr Trump was expected to outline a vision for peace within the binding constraints of our times.
Tillerson, for his part, played down the possibility of a meeting, telling reporters he did not believe he could have a "matter-of-fact discussion with North Korea because we don't know how their means of communication and behavior will be".
Trump's speech "reaffirmed that North Korea should be made to realise denuclearisation is the only way to the future through utmost sanctions and pressure", it added.
Merkel said she told Trump by telephone a few days ago that a diplomatic solution must be found. "We call on all nations to work with us to try to end the threat posed by Kim Jong Un'".
North Korea's foreign minister has cited a local proverb in likening US President Donald Trump's fiery rhetoric against his country to "a dog barking".
- North Korea's foreign minister Ri Yong-ho compares Trump's threats with the sound of a dog's bark.
Iraqi Forces 'Attack Last IS Bastion on Syria Border'
An Iraqi soldier takes up position during a military operation southwest of Fallujah city in the province of Anbar, 23 May 2016. Dillon, the coalition spokesman, said the Kurdish referendum had pulled "resources and focus" away from the fight against IS.
When asked what he thought of Trump's description of Kim as rocket man, Ri replied, "I feel sorry for his aides".
Clinton referred the message presented by Trump as "dark" and "dangerous", she said that Trump should approach the tension with diplomacy with North Korea.
Earlier this month, North Korea conducted its sixth and most powerful nuclear test to date and fired a ballistic missile over Japan.
Trump has ramped up aggressive rhetoric regarding North Korea amid its nuclear and missile testing.
Beijing is Pyongyang's most important military and economic partner, but it continues to support United Nations sanctions against North Korea.
Trump also spoke with Chinese President Xi Jinping about the issue in a phone call Monday, according to a White House statement.
"While of course, when you face risky situations, like what is happening in North Korea, to make it clear, your first approach should always be diplomatic".