However, if the USA did not "keep its promise made in front of the whole world" and instead "insists on sanctions and pressures" on North Korea, "we may be left with no choice but to consider a new way to safeguard our sovereignty and interests".
In the address, Kim Jong-un highlighted last year's developments in inter-Korean and US-North Korea relations, while calling on his country to seek economic development and modernize its defense industry.
"I'll endeavor towards a result that will be welcomed by the global community", Kim said of the potential second meeting between the two leaders.
He warned that he may have no choice but to seek a new path if Washington "continues to break its promises and misjudges the patience of our people by unilaterally demanding certain things and pushes ahead with sanctions and pressure".
North Korean leader Kim Jong Un delivers a speech in North Korea.
Kim emphasized that it is his firm intention to work on building "new relations" with the US, establishing lasting peace on the Korean Peninsula and seeking "complete denuclearization", as agreed to in his June summit with Trump, if the USA takes trustworthy and corresponding measures.
Kim called for South Korea to "completely stop" joint military drills with the United States involving strategic assets, while multilateral negotiations should be pursued to build a permanent peace regime on the Korean Peninsula.
Trump has been discussing a second summit with North Korea for a while, including tweeting on Christmas Eve that he was "Looking forward to my next summit with Chairman Kim!"
Although Pyongyang did not conduct nuclear or missile tests past year, satellite images have pointed to continued activity at the North's related facilities.
Kim also signalled that any deal might require weakening the US-South Korean alliance, urging Seoul not to resume military exercises with the American side.
He also said he was ready to meet Mr Trump again at any time.
But while Kim Jong Un says he wants to continue along the diplomatic path, the clear hint is that without some response from the United States, the rapprochement witnessed a year ago may go into reverse.
However, Trump says sanctions placed on the nation would remain in place until North Korea give up its nuclear arsenal. Noting that neither would be possible under current sanctions, the New York Post speculated Kim is still interested in driving a wedge between the us and South Korea by making offers that will push Seoul to demand sanctions relief for the North or unilaterally defy the sanctions.
In what was the first time a North Korean leader met a sitting U.S. president, the two signed a vaguely phrased agreement to improve ties and work towards denuclearisation.
The Seoul government shut down the joint industrial complex at the North's border town of Kaesong in 2016 in retaliation for Pyongyang's nuclear and missile provocations at the time.
In the speech, Kim hailed the results of the North's diplomatic activities in 2018, including his three meetings with South Korean President Moon Jae-in.
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.
In this year's address, Kim reminded viewers that athletes from the two Koreas had marched together under a joint Korean flag at the Opening Ceremonies of those Games.
The United States has firmly insisted North Korea must achieve complete and verifiable denuclearization before sanctions will be lifted and views Pyongyang's disarmament measures to date as largely symbolic.
North Korean leader Kim Jong Un brought a new look to his New Year's address - ditching the formalities of a podium and microphone bank to speak from a plush leather chair in front of a wooden mantle piece. North Korea has broken promises made to the United States to halt is nuclear weapons program on at least six prior occasions.
North Korea has not responded to Washington's calls for senior working-level talks to follow up on the June 12 summit, apparently preferring to engage Trump rather than other U.S. officials in its negotiations.
A suspect police are searching for in connection to the fatal shooting of an officer during a traffic stop in Northern California. The sheriff says Perez Arriaga was a native of Mexico and had been in the USA illegally for several years.
Meanwhile, Chelsea in their response wants at least £22.5m for the attacker before they can allow him leave anytime soon. Watford's goalkeeper barged Hazard to the floor in the 58th minute and the Belgian made no mistake from the penalty spot.
Maybe Williams wanted to say his teammate Tua Tagovailoa should have gotten the Heisman over Murray? "You know, it's football". This season, Murray has stunned defenses with the strength of his arm and the quickness of his feet. "Nobody expected this.
The Steelers did manage to narrowly avoid disaster and beat the lowly Bengals , but it was too little, too late. The NFL Injury Report for Week 17 has a lot of big names that could miss some pretty important games.
Their long-shot scenario is starting the postseason in Los Angeles, if they lose to the Bears and the Rams and Eagles lose, too. If the Vikings win, the most likely scenario would be a return trip to Soldier Field for a playoff game on January 5 or 6.
The company filed for bankruptcy in October and was in the process of closing 180 stores before announcing 80 more on Friday. For much of the 20th century it was not only the nation's largest retailer, it was the largest private-sector employer.
Zaccheaus found himself alone on a slant, ending a 39-yard drive that took eight plays and almost 4 1/2 minutes. The Cavaliers controlled the ball for more than 20 minutes of the first half and built a 14-0 lead at halftime.
Hanover airport is now closed to flights after a auto was reportedly driven through a gate near to a runway, German police say. Hannover airport handled 5.87 million passengers past year , though it isn't one of Germany's top hubs.
McCaw appears more than ready to move on from the Warriors, and had been negotiating with other teams as the season progressed. The Cavaliers or Warriors could waive McCaw before January 7 and not be responsible for paying the remainder of his contract.
That is not going to happen. "Why should I change?" "It's a supporters and journalists game, but we can not be a part of it". Pep Guardiola asserts he has no intention of changing City's style of play, following a hard period of results .
Meghan and Harry tied the knot in May this year, and announced they were expecting their first child together in October . Middleton, 36, and Markle previously reunited last week for the royal family's Christmas luncheon at Buckingham Palace.
Philippine storm death toll surges to 68
The tropical depression, which has since been downgraded to a low pressure area, left the Philippines on this afternoon. Rescue teams were still searching for several missing in the affected areas, emergency officials said.
Lady Gaga Unveils Anime Cyborg at Her Las Vegas Show
Pop star Lady Gaga began her two-year Las Vegas residency on Friday with a supernatural, space themed set titled Enigma . Elements of the ENIGMA show were created via motion capture and CGI, capturing elements of Gaga's own movements.
No end in sight for USA government shutdown
Resolution of the standoff may end up involving a face-saving deal on a barrier that Trump can call a wall. It also is beginning to pinch citizens who count on certain public services.