CHINA
Beijing suggested the UN Security Council could consider suspending or lifting sanctions against North Korea if Pyongyang is in compliance with UN resolutions and making progress in diplomatic negotiations.
Foreign ministry spokesman Geng Shuang said China "welcomes and supports" talks between North Korea and the US to reach consensus on denuclearisation and establish a peace mechanism.
Geng told reporters in Beijing: "Sanctions are not an end. We believe the Security Council should make efforts to support the diplomat efforts at the present time."
JAPAN
Prime Minister Shinzo Abe welcomed Kim's written commitment to complete denuclearisation.
"We see this as a step in a comprehensive resolution," Abe said in Tokyo.
Abe added that he "would like to thank the president (Trump) for raising the abduction issue," referring to Japan's demand that Pyongyang release any remaining Japanese people it abducted to train its spies.
SOUTH KOREA
President Moon Jae-in vowed to write "new history" with North Korea, praising Kim's decision to hold the summit with the US.
"Leaving dark days of war and conflict behind, we will write a new chapter of peace and co-operation," Moon said in a statement released by his office.
"We will be there together with North Korea along the way."
Moon's comments came after earlier caution from the presidential office, saying it was seeking clarity after Trump pledged to stop joint military exercises with Seoul.
"At this point, we need to find out the precise meaning or intentions of President Trump's remarks," a Blue House spokesman said.
RUSSIA
Russia gave a positive assessment of the deal between Trump and Kim, but "the devil is in the detail", TASS news agency reported.
Deputy Foreign Minister Sergei Ryabkov told TASS that Russia is ready to assist in implementing the deal - to work towards complete denuclearisation of the Korean peninsula - and hopes settling the nuclear crisis will unblock normal economic co-operation.
Russian Foreign Minister Sergei Lavrov also approved of the meeting, Interfax reported.
"The mere fact of the meeting between the leaders of the United States and North Korea is positive ... We are following the comments that both sides are making but we have not seen the document yet, we'll see," Lavrov said.
EUROPEAN UNION
Federica Mogherini, the EU's high representative for foreign affairs, said the summit demonstrated that diplomacy paved the way forward to peace in the region.
"The ultimate goal, shared by the entire international community and as expressed by the United Nations Security Council, remains the complete, verifiable and irreversible denuclearisation of the Korean Peninsula," Mogherini's office said in a statement.
"The joint statement signed by the US and DPRK (Democratic People's Republic of Korea) leaders today gives a clear signal that this goal can be achieved."
BRITAIN
Foreign Minister Boris Johnson said in a statement: "We welcome that President Trump and Kim Jong Un have held a constructive summit, this is an important step towards the stability of a region vital to global economic growth.
"There is much work to be done and we hope that Kim continues to negotiate in good faith towards complete verifiable and irreversible denuclearisation."
UNITED NATIONS
Yukiya Amano, director general of the International Atomic Energy Agency, said his agency "stands ready to undertake any verification activities that it may be requested to conduct by the countries concerned".
He noted the Trump-Kim statement includes a North Korean commitment "towards complete denuclearisation of the Korean peninsula".
Amano said the IAEA "will closely follow the negotiations to be held between the two countries to implement the outcomes" of the summit.
IRAN
The Iranian government warned the US president could nullify any nuclear deal.
The semi-official Fars news agency quoted government spokesman Mohammad Bagher Nobakht as saying: "We are facing a man who revokes his signature while abroad.
"We don't know what type of person the North Korean leader is negotiating with. It is not clear that he would not cancel the agreement before returning back home."
The US pulled out of the landmark 2015 nuclear deal with Iran in May.
MALAYSIA
New prime minister Mahathir Mohamad, on a visit to Tokyo, said: "Both sides must be prepared to give in certain issues if they expect to reach a good conclusion."
INDIA
The foreign ministry said in a statement that it hoped for complete implementation of the agreement, "thus paving the way for lasting peace and stability in the Korean peninsula".
