Ri was speaking at the United Nations general assembly in NY.
Though the speech was relatively positive, the United States leader did end by saying he would not be reducing sanctions placed on the country until it was completely denuclearized.
Trump has made repeated efforts to flatter Kim, even as talks aimed at ending Pyongyang's nuclear programme sputtered following the two leaders' landmark June summit in Singapore. "But the problem is that the continued sanctions are deepening our mistrust", he said.
Washington and Pyongyang are now said to be negotiating a second summit between Trump and Kim. Most of the steps it has said it has taken could easily be replaced or reversed.
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Washington is wary of agreeing to the declaration without Pyongyang first making significant disarmament moves.
"The perception that sanctions can bring us to our knees is a pipe dream of the people who are ignorant about us".
"It is our position that denuclearization of the Korean Peninsula should also be realized along with building a peace regime under the principle of simultaneous actions, step by step, starting with what we can do and giving priority to trust-building", he added.
US President Donald Trump said he and North Korean leader Kim Jong-un "fell in love" over the course of their on-again off-again detente, hours after Pyongyang's top diplomat said there was "no way" the country would disarm under current conditions.
South Korean President Moon Jae-in received a pair of North Korean indigenous hunting dogs from Pyongyang, his office said today, the latest token of the rapidly blossoming friendship on the peninsula.
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Rouhani said the United States , with its sanctions threats, "pressures other countries to violate the nuclear accord". President Trump also asserted American freedom, rejecting ideas of "global governance, control and domination".
"The US insists on the "denuclearisation-first" and increases the level of pressure by sanctions to achieve their goal in a coercive manner, and even objecting to the 'declaration of the end of war, '" Mr Ri said.
U.S. Secretary of State Mike Pompeo met with Ri in NY and is planning to go to Pyongyang next month to continue discussions.
But on Saturday, North Korean Foreign Minister Ri Yong-ho blamed U.S. sanctions for the lack of progress since then.
Mr Moon said that he had been "able to confirm Chairman Kim's firm commitment to complete denuclearisation" and that he had also expressed his wish to meet Mr Trump again soon.
This combination of two file photos shows U.S. President Donald Trump, left, and North Korean leader Kim Jong Un.
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Such demands - as well as a history of North Korea breaking past promises to dismantle its nuclear program - have raised questions as to whether or not the USA and North Korea will actually be able to reach a meaningful agreement. "And we would go back and forth", Trump told a rally in West Virginia.