The North Korean leader said he would disarm their nuclear programme if the United States takes the same measures.
A computer programmer has been charged in the US for working for the North Korean state in a series of cyber attacks, including the WannaCry ransomware that crippled the NHS.
The state-run Korean Central News Agency called Kim Jong-un "peace-loving" in is official statement
In a press conference following his meeting with Kim Jong-un, the US president hinted that human rights issues had been discussed, and hoped for a united Korea
The US president and the North Korean leader both said their meeting was a success
Donald Trump tweeted his excitement at being in Singapore ahead of meeting Kim Jong-un, and a think tank expert said other leaders may not have been able to make it happen
Michael Graham argues that Donald Trump is the first president to elicited any action from North Korea over their nuclear regime
North Korea are still willing to meet with the United States after President Trump cancelled his planned summit with Kim Jong-un
In a statement released by the White House the President felt it was "inappropriate, at this time, to have this long-planned meeting".
Mr Trump raised the possibility that the meeting could be pushed back during a White House meeting with South Korea President Moon Jae-in.
The US President has also confirmed he will meet them upon their return to America.
The leaders crossed the military border between the two Korean states for the first time since 1953
Jonathan calls Mike Graham and Katie Perrior in high spirits after news of Trump's meeting with Kim Jong-un
Kim Jong-un's sister, Kim Yo-jong, is visiting South Korea for the Winter Olympics
It is thought that rockets and missiles were showcased at the parade
Kim Yo-jong is to attend the Winter Olympics and will be the first immediate member of his family to go beyond the border
Taiwan was included in China and the Kuril islands were put in a chart about Russia
Theresa May is also expected to present the Chinese President with a box-set copy of the BBC's Blue Planet II series
Nick Dearden, a founder member of the Stop Trump coalition, gives us his damning assessment of Trump's first year in office
US President reacts with typical modest to news of diplomatic breakthrough
It is thought General Hwang Pyong-so has been removed from the party due to bribery allegations
State media in North Korea has recently appeared to say Kim Jong-un can control the weather, but it's not the first outlandish claim
Charles Robert Jenkins was finally able to leave North Korea in 2002 and moved to Japan with his wife and children
The Korean Central News Agency said Kim Jong-un climbed two miles up Mount Paektu
The terms of the executive order - which places travel restrictions on eight countries - can be active while challenges to it are processed
South Korean and U.S military forces have combined for a five day training drill in Seoul
Donald Trump may have caused outrage with his retweets of Britain First, but it's certainly one of many controversial events in his life
Researcher Aidan Foster-Carter says its possible the US may now take a diplomatic approach to North Korea
The Pentagon said a new missile launched on Tuesday, landing around 200 nautical miles off the coast of Japan
This is not an usual occurrence in Japan on its west coast, however this boat washed up in the north
A final cause of death for Aijalon Mahli Gomes has not yet been established but it is thought to be either accidental or suicide
The video shows man is shot at repeatedly by his comrades before being dragged to safety by South Korean soldiers
North Korean media blasted the US President for insulting remarks he made about the country's leader
The US President made a new statement against Pyongyang while on his tour of Asia
There has been heavy tension between North Korea and the US president over the regime's ongoing drive to build nuclear weapons
The Foreign Secretary called on North Korea to take full responsibility for its "aggressive" actions
The US President condemned his predecessor for not doing more to curb the country's nuclear weapons development
The rapper, whose real name is Marshall Mathers, was appearing at the BET Hip Hop Awards
The demonstration was reportedly ordered in an attempt to deter the North Koreans from aggression
The US Secretary of Defense made the comments at an army convention in Washington D.C.
The tension between the United States and the secretive country has been escalating in recent months
Peter Dowd, the MP for Bootle, spoke to Julia Hartley-Brewer about the Labour Leader's well-received speech at the party conference
Otto Warmbier's parents also said their son was 'systematically tortured' and 'injured'
The country has claimed acts of war have been committed against it numerous times over the last few years
The police were called to the street where the embassy is located after receiving reports of an unattended package
Chatham House fellow John Nilsson-Wright says he's worried that there's not enough dialogue between America and North Korea
The regime in Pyongyang said on Monday a tweet from Donald Trump was tantamount to a declaration of war
Foreign minister Ri Yong-ho issues threat in New York
The restrictions have morphed from a travel ban imposed by Donald Trump on six majority-Muslim countries this year