He said he would work towards "a result that will be welcomed by the worldwide community" and said relations between the US and North Korea would move at a "fast speed" if America was willing to work with his own administration.
But the USA seemed to be careful on its evaluation of the speech.
The leader's New Year speech is a key moment in the North Korean political calendar, reviewing the past and setting out goals for the future.
The line was not included in the first English-language summary of the speech by the North's official KCNA news agency.
Mr Kim emphasised "self-reliance" in his speech as he outlined his efforts to develop his impoverished nation.
On the matter of inter-Korean economic cooperation, Kim mentioned two sensitive projects, both of which are now suspended and whose resumption would most likely violate the global sanctions that remain in place.
This year, Kim said inter-Korean relations have entered a "completely new phase", and offered to resume key inter-Korean economic projects banned under worldwide and South Korean sanctions, without conditions. Parts of the lengthy speech also broke from Chairman Kim speaking and switched to highlighting the country's economic and technological advances to come.
Our correspondent, Laura Bicker, is in the South Korean capital, Seoul and watched the speech.
Kim said he wanted to restart a joint economic zone in Kaesong and a joint tourism project at Mount Kumgang in the North "without preconditions".
Seoul and Washington are in a security alliance and the USA stations 28,500 troops in the South to protect it against its neighbor. While Pyongyang conducted no nuclear or missile tests past year, satellite images have pointed to continued activity at related facilities.
Observers say those steps have not been confirmed and can be easily reversed.
Kim called for South Korea to "completely stop" joint military drills with the United States involving strategic assets, while multilateral negotiations among countries involved in the armistice agreement should be pursued to build a permanent peace regime.
At the time, Kim committed North Korea to "work toward complete denuclearization" of the Korean Peninsula.
Some observers said there was little news to emerge from the address.
Talks between the US and North Korea have made little progress since Trump and Kim held an unprecedented summit in June and signed to "work toward complete denuclearization of the Korean Peninsula", without defining the term or setting a deadline. "He's exuding confidence that his country isn't hung up over the USA, that they can still prosper without Washington".
But Kim called on Washington to take "corresponding" and "trustworthy" measures to reciprocate steps North Korea has already taken.
But with Kim highlighting the need to turn further attention to economic prosperity in his speech, North Korea is also likely to continue to bring up such economic projects as a main agenda - even more than it did previous year.
As for Japan, it remains unclear if Kim is truly open to a meeting with Prime Minister Shinzo Abe, though he hinted a year ago at the possibility "at an appropriate time", according to South Korea's Moon.
President Trump has said he expects a second summit to take place as early as February but there has been no confirmation yet.
"Japan, a political dwarf which has come under bitter denunciation and rejection by the global community for its bad habit of seeking benefits in the troubled waters, dares to challenge the strong trend of peace and stability in the region".
Interested in North Korea?
Trump wrote quoting PBS News Hour.
Joshua Pollack of the Middlebury Institute of International Studies tweeted that Kim was insisting "the onus is now on the U.S. to deliver".
"In sum he wants to portray himself as a real player on the worldwide scene", he added.
The airport says the plane has been moved and the incident has not caused further impacts to the airport's operations. Worldwide airport Baltimore-Washington (Maryland) on Saturday evening struck the jet bridge.
She was seen crying and often complaining that people in the house did not understand her and called her "fake". In a recent development, Bigg Boss ex-contestant, Dolly Bindra has tweeted out a major breaking from the house.
What is known is that anyone who tries to escape from North Korea does so at considerable risk to themselves and their families. Hackers have stolen the personal data of 997 North Korean defectors , according to South Korea's Unification Ministry.
The two parts will be voted on separately on the House floor on Thursday, Democrats on the House Appropriations Committee said. Meanwhile, White House counselor Kellyanne Conway calls discussion of the apparent contradiction "a silly semantic argument".
This year, he's seen a slight dip in his numbers, throwing for 4,105 yards with 25 touchdowns and 11 interceptions. Championship level is definitely not how you would describe his recent performances, especially in recent weeks.
Mr Javid has appointed a "gold commander" to take overall charge of the situation and make strategic decisions about the response. The men received medical checks and were turned over to immigration officials for processing, the Home Office said .
Last season, which was his second in the league, he averaged 4.0 points, 1.4 rebounds and 1.4 assists in 57 games. McCaw, 23, allowed a $1.71 million qualifying offer from the Warriors to expire before the season.
What did you think of Instagram's temporary scrolling update? It also asked the users to tap through to see their feed. Many Instagram users woke up to a drastically different layout for the app Thursday - and weren't too happy about it.
Across cities and towns, menstruating girls and women are not allowed to prepare food, enter a temple or touch an idol. Post-verdict of the top court, the first day witnessed massive protests against women entering the temple.
Philadelphia embarrassed the Bears previous year , a game that most of the holdovers from the Fox era are sure to remember. The Bears delivered a blow in the first meeting this season with Chicago's defense giving Cousins and Minnesota fits.
NASA's New Horizons Begins Countdown to Ultima Thule Flyby
At 11:30 a.m., scientists involved with the New Horizons mission released the first images and data returned by the spacecraft. That data includes high-resolution images of Ultima Thule and spectra that can provide information about its composition.
Federer off to winning start in Hopman Cup
Williams, meanwhile has already said she's hell-bent on getting a selfie with Federer to share to her 10.3 million Instagram fans. Maria is super young and such a good player. "I was making a lot of errors", Williams said.
Jones Stops Gustafsson To Win UFC Light-Heavyweight Title
She is engaged to fellow UFC fighter Nina Ansaroff, who she credits as the best training partner ever. "You can't debate that". This may have been one of the most highly anticipated bouts in UFC women's history. "Today was not my day", Justino said.
Spurs title chances hit by Wolves defeat
Tottenham's Premier League title hopes have taken a major hit after Wolverhampton came from behind to beat them 3-1 at Wembley Stadium to end their winning run.